{"id":2526,"date":"2021-04-04T12:58:00","date_gmt":"2021-04-04T09:58:00","guid":{"rendered":"https:\/\/modinst.lu.lv\/?post_type=portfolio&#038;p=2526"},"modified":"2021-06-04T14:04:09","modified_gmt":"2021-06-04T11:04:09","slug":"numerical-modelling-2","status":"publish","type":"portfolio","link":"https:\/\/modinst.lu.lv\/en\/pakalpojums\/numerical-modelling-2\/","title":{"rendered":"Numerical Modelling"},"content":{"rendered":"<div id='full_slider_1'  class='avia-fullwidth-slider main_color avia-shadow   avia-builder-el-0  el_before_av_one_third  avia-builder-el-first   container_wrap fullsize'  >\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_slideshow_full-8ce03a4269be3a710af2d4090784c229\">\n#top #wrap_all .avia-slideshow .av-slideshow-caption.av-av_slideshow_full-8ce03a4269be3a710af2d4090784c229__0 .avia-caption-title{\nfont-size:40px;\n}\n<\/style>\n<div  class='avia-slideshow av-av_slideshow_full-8ce03a4269be3a710af2d4090784c229 avia-slideshow-featured av_slideshow_full avia-slide-slider av-slideshow-ui av-control-default av-slideshow-manual av-loop-once av-loop-manual-endless av-default-height-applied   avia-slideshow-1' data-slideshow-options=\"{&quot;animation&quot;:&quot;slide&quot;,&quot;autoplay&quot;:false,&quot;loop_autoplay&quot;:&quot;once&quot;,&quot;interval&quot;:5,&quot;loop_manual&quot;:&quot;manual-endless&quot;,&quot;autoplay_stopper&quot;:false,&quot;noNavigation&quot;:false,&quot;bg_slider&quot;:false,&quot;keep_padding&quot;:false,&quot;hoverpause&quot;:false,&quot;show_slide_delay&quot;:0}\"  itemprop=\"image\" itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/ImageObject\" ><ul class='avia-slideshow-inner ' style='padding-bottom: 28.666666666667%;'><li  class='avia-slideshow-slide av-av_slideshow_full-8ce03a4269be3a710af2d4090784c229__0  av-single-slide slide-1 slide-odd'><div data-rel='slideshow-1' class='avia-slide-wrap '   ><div class='av-slideshow-caption av-av_slideshow_full-8ce03a4269be3a710af2d4090784c229__0 caption_fullwidth caption_left caption_left_framed caption_framed'><div class=\"container caption_container\"><div class=\"slideshow_caption\"><div class=\"slideshow_inner_caption\"><div class=\"slideshow_align_caption\"><h2 class='avia-caption-title '  itemprop=\"name\" >Numerical modelling<\/h2><\/div><\/div><\/div><\/div><\/div><img decoding=\"async\" fetchpriority=\"high\" class=\"wp-image-2458 avia-img-lazy-loading-not-2458\"  src=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/04\/pakalpojumi_0_cover_3_skaitliska_modelesana-1500x430.jpg\" width=\"1500\" height=\"430\" title='Numerical Modelling' alt=''  itemprop=\"thumbnailUrl\"   \/><\/div><\/li><\/ul><\/div><\/div><div id='after_full_slider_1'  class='main_color av_default_container_wrap container_wrap fullsize'  ><div class='container av-section-cont-open' ><div class='template-page content  av-content-full alpha units'><div class='post-entry post-entry-type-page post-entry-2526'><div class='entry-content-wrapper clearfix'>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_one_third-e50d3938966fff2ae821a43274fcd192\">\n.flex_column.av-av_one_third-e50d3938966fff2ae821a43274fcd192{\nborder-radius:0px 0px 0px 0px;\npadding:12px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_one_third-e50d3938966fff2ae821a43274fcd192 av_one_third  avia-builder-el-1  el_after_av_slideshow_full  el_before_av_two_third  avia-builder-el-first  first flex_column_div  '     ><style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_heading-9bff3804b26b51f44969d5ba6bf7e8eb\">\n#top .av-special-heading.av-av_heading-9bff3804b26b51f44969d5ba6bf7e8eb{\npadding-bottom:10px;\n}\nbody .av-special-heading.av-av_heading-9bff3804b26b51f44969d5ba6bf7e8eb .av-special-heading-tag .heading-char{\nfont-size:25px;\n}\n.av-special-heading.av-av_heading-9bff3804b26b51f44969d5ba6bf7e8eb .av-subheading{\nfont-size:15px;\n}\n<\/style>\n<div  class='av-special-heading av-av_heading-9bff3804b26b51f44969d5ba6bf7e8eb av-special-heading-h3  avia-builder-el-2  avia-builder-el-no-sibling  av-linked-heading'><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Description<\/h3><div class=\"special-heading-border\"><div class=\"special-heading-inner-border\"><\/div><\/div><\/div><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_two_third-da852e3ef3e55b029d2629c41a20524d\">\n.flex_column.av-av_two_third-da852e3ef3e55b029d2629c41a20524d{\nborder-radius:0px 0px 0px 0px;\npadding:0px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_two_third-da852e3ef3e55b029d2629c41a20524d av_two_third  avia-builder-el-3  el_after_av_one_third  el_before_av_one_third  flex_column_div av-zero-column-padding  '     ><style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-kolas351-97e2de3141bc32ba9acf04fb5e1e35c5\">\n#top .av_textblock_section.av-kolas351-97e2de3141bc32ba9acf04fb5e1e35c5 .avia_textblock{\nfont-size:15px;\n}\n<\/style>\n<section  class='av_textblock_section av-kolas351-97e2de3141bc32ba9acf04fb5e1e35c5 '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><p>Numerical modelling and computer simulations are widely used in industrial research, in the optimisation of various systems and product development. Numerical modelling decreases the necessity for real-life experiments and prototyping, thus accelerating the product development cycle and decreasing the costs. The experts from our Institute create numerical models to describe diverse physical and technical engineering systems and natural phenomena.<\/p>\n<p>Researchers from the Institute of Numerical Modelling have extensive experience in this field &#8211;\u00a0 the University of Latvia has been involved in the field of continuum physics for 50+ years. Our institute has represented this field of research from the very beginning (see <a href=\"https:\/\/modinst.lu.lv\/en\/history\/\">History<\/a> section). We have carried out a variety of both industrial and academic projects in this field.<\/p>\n<\/div><\/section><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_one_third-e50d3938966fff2ae821a43274fcd192\">\n.flex_column.av-av_one_third-e50d3938966fff2ae821a43274fcd192{\nborder-radius:0px 0px 0px 0px;\npadding:12px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_one_third-e50d3938966fff2ae821a43274fcd192 av_one_third  avia-builder-el-5  el_after_av_two_third  el_before_av_two_third  first flex_column_div  column-top-margin'     ><style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-koikknbq-59f8f1f862ebb39661648e7775ba8554\">\n#top .av-special-heading.av-koikknbq-59f8f1f862ebb39661648e7775ba8554{\npadding-bottom:10px;\n}\nbody .av-special-heading.av-koikknbq-59f8f1f862ebb39661648e7775ba8554 .av-special-heading-tag .heading-char{\nfont-size:25px;\n}\n.av-special-heading.av-koikknbq-59f8f1f862ebb39661648e7775ba8554 .av-subheading{\nfont-size:15px;\n}\n<\/style>\n<div  class='av-special-heading av-koikknbq-59f8f1f862ebb39661648e7775ba8554 av-special-heading-h3  avia-builder-el-6  avia-builder-el-no-sibling  av-linked-heading'><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Heat and Mass Transfer<\/h3><div class=\"special-heading-border\"><div class=\"special-heading-inner-border\"><\/div><\/div><\/div><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_two_third-da852e3ef3e55b029d2629c41a20524d\">\n.flex_column.av-av_two_third-da852e3ef3e55b029d2629c41a20524d{\nborder-radius:0px 0px 0px 0px;\npadding:0px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_two_third-da852e3ef3e55b029d2629c41a20524d av_two_third  avia-builder-el-7  el_after_av_one_third  el_before_av_one_third  flex_column_div av-zero-column-padding  column-top-margin'     ><section  class='av_textblock_section av-koiikugj-aa99444f4b02f59e37093095e4783846 '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><p>We perform calculations to analyze heat transfer, humidity transport, and many other properties of different materials used in construction. We can also evaluate the efficiency of different HVAC (Heating, Ventilation and Air Conditioning) systems. We also develop numerical models of conductive, convective and radiative heat as well as humidity transfer for multi-phase (gas\/liquid, gas\/solute particles, etc.) systems.<\/p>\n<\/div><\/section><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_one_third-e50d3938966fff2ae821a43274fcd192\">\n.flex_column.av-av_one_third-e50d3938966fff2ae821a43274fcd192{\nborder-radius:0px 0px 0px 0px;\npadding:12px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_one_third-e50d3938966fff2ae821a43274fcd192 av_one_third  avia-builder-el-9  el_after_av_two_third  el_before_av_two_third  first flex_column_div  column-top-margin'     ><style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-koikkuvk-d32e00a4d25b7adf126376532fc38a1f\">\n#top .av-special-heading.av-koikkuvk-d32e00a4d25b7adf126376532fc38a1f{\npadding-bottom:10px;\n}\nbody .av-special-heading.av-koikkuvk-d32e00a4d25b7adf126376532fc38a1f .av-special-heading-tag .heading-char{\nfont-size:25px;\n}\n.av-special-heading.av-koikkuvk-d32e00a4d25b7adf126376532fc38a1f .av-subheading{\nfont-size:15px;\n}\n<\/style>\n<div  class='av-special-heading av-koikkuvk-d32e00a4d25b7adf126376532fc38a1f av-special-heading-h3  avia-builder-el-10  avia-builder-el-no-sibling  av-linked-heading'><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Thermal Calculations for Engineering<\/h3><div class=\"special-heading-border\"><div class=\"special-heading-inner-border\"><\/div><\/div><\/div><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_two_third-da852e3ef3e55b029d2629c41a20524d\">\n.flex_column.av-av_two_third-da852e3ef3e55b029d2629c41a20524d{\nborder-radius:0px 0px 0px 0px;\npadding:0px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_two_third-da852e3ef3e55b029d2629c41a20524d av_two_third  avia-builder-el-11  el_after_av_one_third  el_before_av_one_third  flex_column_div av-zero-column-padding  column-top-margin'     ><section  class='av_textblock_section av-kolaw1a0-0901ca4a7fa5aa5d0b524cc0b2ea517b '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><p>We develop models of heat and humidity change in the building structural elements, identify and evaluate thermal bridges (equivalent U, \u03c8) as well as assess the heat balance of a building or a seperate room.<\/p>\n<\/div><\/section><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_one_third-e50d3938966fff2ae821a43274fcd192\">\n.flex_column.av-av_one_third-e50d3938966fff2ae821a43274fcd192{\nborder-radius:0px 0px 0px 0px;\npadding:12px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_one_third-e50d3938966fff2ae821a43274fcd192 av_one_third  avia-builder-el-13  el_after_av_two_third  el_before_av_two_third  first flex_column_div  column-top-margin'     ><style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-koikl1gn-c94486f76494e753458e48def6f79581\">\n#top .av-special-heading.av-koikl1gn-c94486f76494e753458e48def6f79581{\npadding-bottom:10px;\n}\nbody .av-special-heading.av-koikl1gn-c94486f76494e753458e48def6f79581 .av-special-heading-tag .heading-char{\nfont-size:25px;\n}\n.av-special-heading.av-koikl1gn-c94486f76494e753458e48def6f79581 .av-subheading{\nfont-size:15px;\n}\n<\/style>\n<div  class='av-special-heading av-koikl1gn-c94486f76494e753458e48def6f79581 av-special-heading-h3  avia-builder-el-14  avia-builder-el-no-sibling  av-linked-heading'><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Metallurgy and Magnetohydrodynamics<\/h3><div class=\"special-heading-border\"><div class=\"special-heading-inner-border\"><\/div><\/div><\/div><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_two_third-da852e3ef3e55b029d2629c41a20524d\">\n.flex_column.av-av_two_third-da852e3ef3e55b029d2629c41a20524d{\nborder-radius:0px 0px 0px 0px;\npadding:0px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_two_third-da852e3ef3e55b029d2629c41a20524d av_two_third  avia-builder-el-15  el_after_av_one_third  el_before_av_one_third  flex_column_div av-zero-column-padding  column-top-margin'     ><section  class='av_textblock_section av-kolax05y-5f7bf4718119b4df95a01eb1c9d8b6a9 '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><p>We develop numerical models describing multi-physical systems where, in addition to thermal and hydrodynamic processes, electromagnetic field evolution must be considered i.e. magnetohydrodynamic systems. The Institute of Numerical modelling has previously developed models for both magnetic stirring furnaces in <a href=\"https:\/\/modinst.lu.lv\/en\/pakalpojums\/metalurgija\/\">metallurgy<\/a> and inductive heating in <a href=\"https:\/\/modinst.lu.lv\/en\/pakalpojums\/pusvaditaju-tehnologijas\/\">semiconductor technologies<\/a>.<\/p>\n<\/div><\/section><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_one_third-e50d3938966fff2ae821a43274fcd192\">\n.flex_column.av-av_one_third-e50d3938966fff2ae821a43274fcd192{\nborder-radius:0px 0px 0px 0px;\npadding:12px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_one_third-e50d3938966fff2ae821a43274fcd192 av_one_third  avia-builder-el-17  el_after_av_two_third  el_before_av_two_third  first flex_column_div  column-top-margin'     ><style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-koikl7td-5775adf04d9fed44c12aec6f49391a23\">\n#top .av-special-heading.av-koikl7td-5775adf04d9fed44c12aec6f49391a23{\npadding-bottom:10px;\n}\nbody .av-special-heading.av-koikl7td-5775adf04d9fed44c12aec6f49391a23 .av-special-heading-tag .heading-char{\nfont-size:25px;\n}\n.av-special-heading.av-koikl7td-5775adf04d9fed44c12aec6f49391a23 .av-subheading{\nfont-size:15px;\n}\n<\/style>\n<div  class='av-special-heading av-koikl7td-5775adf04d9fed44c12aec6f49391a23 av-special-heading-h3  avia-builder-el-18  avia-builder-el-no-sibling  av-linked-heading'><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >System Optimisation<\/h3><div class=\"special-heading-border\"><div class=\"special-heading-inner-border\"><\/div><\/div><\/div><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_two_third-da852e3ef3e55b029d2629c41a20524d\">\n.flex_column.av-av_two_third-da852e3ef3e55b029d2629c41a20524d{\nborder-radius:0px 0px 0px 0px;\npadding:0px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_two_third-da852e3ef3e55b029d2629c41a20524d av_two_third  avia-builder-el-19  el_after_av_one_third  el_before_av_one_third  flex_column_div av-zero-column-padding  column-top-margin'     ><section  class='av_textblock_section av-koiimmyg-770a038b00e4b339ad1042c7ec777142 '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><p>We perform optimisation for <a href=\"https:\/\/modinst.lu.lv\/en\/pakalpojums\/sistemu-optimizacija\/\">a variety of physical and engineering systems<\/a>, which include electromagnetics, heat transfer, hydrodynamics, solid mechanics, ray optics, and particle transport. We provide models and optimisation algorithms that are suited to the needs and technical requirements of the client.<\/p>\n<p>We use commercial and open-source simulation packages (e.g. COMSOL, ANSYS, OpenFOAM, Elmer) in addition to our own specialized code to translate customers\u2019 goals into mathematical models, perform physical simulations, and optimise systems and processes. We offer parametric, shape, and topological optimization, covering both geometry variations and simple parameters. The finite element method (FEM) is typically used for systems modelling, while for optimization we employ gradient-free algorithms, such as Nelder-Mead, COBYLA, BOBYQA, MMA, SNOPT.<\/p>\n<\/div><\/section><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_one_third-e50d3938966fff2ae821a43274fcd192\">\n.flex_column.av-av_one_third-e50d3938966fff2ae821a43274fcd192{\nborder-radius:0px 0px 0px 0px;\npadding:12px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_one_third-e50d3938966fff2ae821a43274fcd192 av_one_third  avia-builder-el-21  el_after_av_two_third  el_before_av_two_third  first flex_column_div  column-top-margin'     ><style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-koikle5y-cccb999d115d0b0210ffad79e97ec690\">\n#top .av-special-heading.av-koikle5y-cccb999d115d0b0210ffad79e97ec690{\npadding-bottom:10px;\n}\nbody .av-special-heading.av-koikle5y-cccb999d115d0b0210ffad79e97ec690 .av-special-heading-tag .heading-char{\nfont-size:25px;\n}\n.av-special-heading.av-koikle5y-cccb999d115d0b0210ffad79e97ec690 .av-subheading{\nfont-size:15px;\n}\n<\/style>\n<div  class='av-special-heading av-koikle5y-cccb999d115d0b0210ffad79e97ec690 av-special-heading-h3  avia-builder-el-22  avia-builder-el-no-sibling  av-linked-heading'><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Optical Systems<\/h3><div class=\"special-heading-border\"><div class=\"special-heading-inner-border\"><\/div><\/div><\/div><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_two_third-da852e3ef3e55b029d2629c41a20524d\">\n.flex_column.av-av_two_third-da852e3ef3e55b029d2629c41a20524d{\nborder-radius:0px 0px 0px 0px;\npadding:0px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_two_third-da852e3ef3e55b029d2629c41a20524d av_two_third  avia-builder-el-23  el_after_av_one_third  el_before_av_one_full  flex_column_div av-zero-column-padding  column-top-margin'     ><section  class='av_textblock_section av-koiio3im-28a53dddee7e8f29aaba927bf86a0157 '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><p>We perform efficiency analysis for both industrial and home luminaires, analysing their illumination patterns. This includes analysing how well the light covers the given area whether other lighting sources are necessary and if it is possible to improve the shape of reflectors. Both Hamiltonian optics and wave optics are used in the development of our models. Thermal and mechanical effects are included in the calculations as well as the coupling between optical, thermal and mechanical processes.<\/p>\n<\/div><\/section><\/div>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_one_full-53b0b300fb3685750664fb085c5ad19d\">\n.flex_column.av-av_one_full-53b0b300fb3685750664fb085c5ad19d{\nborder-radius:0px 0px 0px 0px;\npadding:0px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_one_full-53b0b300fb3685750664fb085c5ad19d av_one_full  avia-builder-el-25  el_after_av_two_third  el_before_av_one_third  first flex_column_div av-zero-column-padding  column-top-margin'     ><style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_heading-38bcb604ba61989bb4dfa6c07fe62865\">\n#top .av-special-heading.av-av_heading-38bcb604ba61989bb4dfa6c07fe62865{\npadding-bottom:10px;\n}\nbody .av-special-heading.av-av_heading-38bcb604ba61989bb4dfa6c07fe62865 .av-special-heading-tag .heading-char{\nfont-size:25px;\n}\n.av-special-heading.av-av_heading-38bcb604ba61989bb4dfa6c07fe62865 .av-subheading{\nfont-size:15px;\n}\n<\/style>\n<div  class='av-special-heading av-av_heading-38bcb604ba61989bb4dfa6c07fe62865 av-special-heading-h3  avia-builder-el-26  avia-builder-el-no-sibling  av-linked-heading'><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Contact<\/h3><div class=\"special-heading-border\"><div class=\"special-heading-inner-border\"><\/div><\/div><\/div><\/div>\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_one_third-53b0b300fb3685750664fb085c5ad19d\">\n.flex_column.av-av_one_third-53b0b300fb3685750664fb085c5ad19d{\nborder-radius:0px 0px 0px 0px;\npadding:0px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_one_third-53b0b300fb3685750664fb085c5ad19d av_one_third  avia-builder-el-27  el_after_av_one_full  el_before_av_one_third  first flex_column_div av-zero-column-padding  column-top-margin'     ><section  class='av_textblock_section av-av_textblock-32af9c344aeda5838e62bcf702809feb '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><h3>Andris Jakovi\u010ds, Dr. Phys.<\/h3>\n<p>Chair of the INM Scientific Council<br \/>\nHead of the Laboratory of Multiphysical Processes<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1690\" src=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128.png\" alt=\"\" width=\"16\" height=\"16\" srcset=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128.png 128w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128-80x80.png 80w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128-36x36.png 36w\" sizes=\"auto, (max-width: 16px) 100vw, 16px\" \/> <a href=\"mailto:andris.jakovics@lu.lv\">andris.jakovics@lu.lv<\/a><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1688\" src=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128.png\" alt=\"\" width=\"16\" height=\"16\" srcset=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128.png 128w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128-80x80.png 80w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128-36x36.png 36w\" sizes=\"auto, (max-width: 16px) 100vw, 16px\" \/> <a href=\"https:\/\/orcid.org\/0000-0003-3410-5081\">0000-0003-3410-5081<\/a><\/p>\n<\/div><\/section><\/div><\/p>\n\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_one_third-7984035d50f0055e2d8c0f71fa3ebd04\">\n.flex_column.av-av_one_third-7984035d50f0055e2d8c0f71fa3ebd04{\nborder-radius:0px 0px 0px 0px;\npadding:0px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_one_third-7984035d50f0055e2d8c0f71fa3ebd04 av_one_third  avia-builder-el-29  el_after_av_one_third  el_before_av_one_third  flex_column_div av-zero-column-padding  column-top-margin'     ><section  class='av_textblock_section av-kpi7veac-13520078487bd1f2ac7623b4a0b6cf36 '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><h3>Uldis Bethers, Dr. Phys.<\/h3>\n<p>Head of the Laboratory of Environmental Processes<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1690\" src=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128.png\" sizes=\"auto, (max-width: 16px) 100vw, 16px\" srcset=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128.png 128w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128-80x80.png 80w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128-36x36.png 36w\" alt=\"\" width=\"16\" height=\"16\" \/>\u00a0<a href=\"mailto:uldis.bethers@lu.lv\">uldis.bethers@lu.lv<\/a><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1688\" src=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128.png\" sizes=\"auto, (max-width: 16px) 100vw, 16px\" srcset=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128.png 128w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128-80x80.png 80w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128-36x36.png 36w\" alt=\"\" width=\"16\" height=\"16\" \/>\u00a0<a href=\"https:\/\/orcid.org\/0000-0002-1596-385X\">0000-0002-1596-385X<\/a><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1694\" src=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/16090541531530099327-128.png\" sizes=\"auto, (max-width: 16px) 100vw, 16px\" srcset=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/16090541531530099327-128.png 128w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/16090541531530099327-128-80x80.png 80w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/16090541531530099327-128-36x36.png 36w\" alt=\"\" width=\"16\" height=\"16\" \/>\u00a0<a href=\"https:\/\/www.linkedin.com\/in\/uldis-bethers-9255952\/\">linkedin.com\/in\/uldis-bethers<\/a><\/p>\n<\/div><\/section><\/div>\n<style type=\"text\/css\" data-created_by=\"avia_inline_auto\" id=\"style-css-av-av_one_third-7984035d50f0055e2d8c0f71fa3ebd04\">\n.flex_column.av-av_one_third-7984035d50f0055e2d8c0f71fa3ebd04{\nborder-radius:0px 0px 0px 0px;\npadding:0px 0px 0px 0px;\n}\n<\/style>\n<div  class='flex_column av-av_one_third-7984035d50f0055e2d8c0f71fa3ebd04 av_one_third  avia-builder-el-31  el_after_av_one_third  avia-builder-el-last  flex_column_div av-zero-column-padding  column-top-margin'     ><section  class='av_textblock_section av-kpi7vzzf-29b93547629b81c32d00de64bf9b3c73 '   itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/CreativeWork\" ><div class='avia_textblock'  itemprop=\"text\" ><h3>J\u0101nis Virbulis, Dr. Phys.<\/h3>\n<p>Head of the Laboratory of Semiconductor Technologies<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1690\" src=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128.png\" sizes=\"auto, (max-width: 16px) 100vw, 16px\" srcset=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128.png 128w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128-80x80.png 80w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/8817370761579252550-128-36x36.png 36w\" alt=\"\" width=\"16\" height=\"16\" \/>\u00a0<a href=\"mailto:janis.virbulis@lu.lv\">janis.virbulis@lu.lv<\/a><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1688\" src=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128.png\" sizes=\"auto, (max-width: 16px) 100vw, 16px\" srcset=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128.png 128w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128-80x80.png 80w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/ORCIDiD_icon128x128-36x36.png 36w\" alt=\"\" width=\"16\" height=\"16\" \/>\u00a0<a href=\"https:\/\/orcid.org\/0000-0002-5467-7864\">0000-0002-5467-7864<\/a><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1694\" src=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/16090541531530099327-128.png\" sizes=\"auto, (max-width: 16px) 100vw, 16px\" srcset=\"https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/16090541531530099327-128.png 128w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/16090541531530099327-128-80x80.png 80w, https:\/\/modinst.lu.lv\/wp-content\/uploads\/2021\/01\/16090541531530099327-128-36x36.png 36w\" alt=\"\" width=\"16\" height=\"16\" \/>\u00a0<a href=\"https:\/\/www.linkedin.com\/in\/j%C4%81nis-virbulis-57890a65\/\">linkedin.com\/in\/janis-virbulis<\/a><\/p>\n<\/div><\/section><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":2458,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"tags":[],"portfolio_entries":[15],"class_list":["post-2526","portfolio","type-portfolio","status-publish","has-post-thumbnail","hentry","portfolio_entries-service"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Numerical Modelling - Institute of Numerical Modelling<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/modinst.lu.lv\/en\/pakalpojums\/numerical-modelling-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta 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