{"id":103042,"date":"2026-05-18T13:46:15","date_gmt":"2026-05-18T11:46:15","guid":{"rendered":"https:\/\/wfa.uwr.edu.pl\/?p=103042"},"modified":"2026-05-18T13:46:20","modified_gmt":"2026-05-18T11:46:20","slug":"cross-validation-of-meshless-navier-stokes-solvers-in-porous-media-flows","status":"publish","type":"post","link":"https:\/\/wfa.uwr.edu.pl\/en\/2026\/05\/18\/cross-validation-of-meshless-navier-stokes-solvers-in-porous-media-flows\/","title":{"rendered":"Cross-validation of meshless Navier\u2013Stokes solvers in porous media flows"},"content":{"rendered":"<h2 class=\"wp-block-post-title\">Cross-validation of meshless Navier\u2013Stokes solvers in porous media flows<\/h2>\n\n\n<p>A team of employees of FPAUWr and the &#8220;Jo\u017eef Stefan&#8221; Institute in Slovenia, including Dawid Strzelczyk, Miha Rot, Gregor Kosec, and Maciej Matyka, has just published a paper comparing two methods of numerically solving the Navier-Stokes equations, including in the context of porous media.<\/p>\n\n\n\n<p>The paper titled <em>Cross-validation of meshless Navier-Stokes solvers in porous media flows<\/em> published in the renowned journal Scientific Reports (Sci. Rep., 15, 33837 (2025)) is a direct effect of both groups cooperating under the NCN OpusLAP grant &#8220;Inertial effects in fluid flow in complex porous media&#8221; no. 2021\/43\/I\/ST3\/00228.<\/p>\n\n\n<div class=\"bs_gallery\" id=\"bs_gallery_6a24345a56788\" data-block-type-identifier=\"bs-mozaic-gallery\">\r\n    <div class=\"bs_gallery__images-container\">\r\n                    <div class=\"bs_gallery__column\">\r\n                                    <div class=\"bs_gallery__image-element\">\r\n                        <img decoding=\"async\" src=\"https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2025\/10\/DISCR_sphere_r0-6526.png\"  data-bs-lightbox-set-slide=\"0\" class=\"bs_gallery__img\" tabindex=\"0\">\r\n                    <\/div>\r\n                            <\/div>\r\n                    <div class=\"bs_gallery__column\">\r\n                                    <div class=\"bs_gallery__image-element\">\r\n                        <img decoding=\"async\" src=\"https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2025\/10\/VIZ_streamline_vmag_r0-6526_3d.png\"  data-bs-lightbox-set-slide=\"1\" class=\"bs_gallery__img\" tabindex=\"0\">\r\n                    <\/div>\r\n                            <\/div>\r\n                    <div class=\"bs_gallery__column\">\r\n                            <\/div>\r\n                    <div class=\"bs_gallery__column\">\r\n                            <\/div>\r\n            <\/div>\r\n\r\n    <div class=\"bs_gallery__lightbox-bgc\" data-show-lightbox=\"false\" data-current-offset=\"0\" data-gallery-parent-id=\"bs_gallery_6a24345a56788\">\r\n    <div class=\"bs_gallery__lightbox\">\r\n        <div class=\"bs_gallery__lightbox-topbar\">\r\n            <span class=\"bs_gallery__lightbox--buttons bs_gallery__lightbox-topbar__item\" tabindex=\"-1\" role=\"button\" title=\"Close lightbox window\" data-bs-lightbox-action=\"close\">Close<\/span>\r\n        <\/div>\r\n        <div class=\"bs_gallery__lightbox-main\">\r\n            <div class=\"bs_gallery__lightbox--buttons bs_gallery__lightbox-main__button\" data-bs-lightbox-action=\"prev\"><span>&larr;<\/span><\/div>\r\n            <div class=\"bs_gallery__lightbox--content-box\">\r\n                <div class=\"bs_gallery__lightbox-main__images-slider\">\r\n                    <div class=\"bs_gallery__lightbox-main__images-slider__item\">\r\n        <img decoding=\"async\" class=\"bs_gallery__lightbox-main__images-slider__item-image\" src=\"https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2025\/10\/DISCR_sphere_r0-6526.png\">\r\n        <p class=\"bs_gallery__lightbox-main__images-slider__item__caption\"> <\/p>\r\n    <\/div>\r\n    <div class=\"bs_gallery__lightbox-main__images-slider__item\">\r\n        <img decoding=\"async\" class=\"bs_gallery__lightbox-main__images-slider__item-image\" src=\"https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2025\/10\/VIZ_streamline_vmag_r0-6526_3d.png\">\r\n        <p class=\"bs_gallery__lightbox-main__images-slider__item__caption\"> <\/p>\r\n    <\/div>\r\n                <\/div>\r\n                <div class=\"bs_gallery__lightbox-main__minimap\">\r\n                                                                                                    <img decoding=\"async\" class=\"bs_gallery__lightbox-main__minimap-image\" data-bs-lightbox-set-slide=\"0\" src=\"https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2025\/10\/DISCR_sphere_r0-6526-150x150.png\" data-bs-lightbox-is-active=\"false\">\r\n                                                                                <img decoding=\"async\" class=\"bs_gallery__lightbox-main__minimap-image\" data-bs-lightbox-set-slide=\"1\" src=\"https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2025\/10\/VIZ_streamline_vmag_r0-6526_3d-150x150.png\" data-bs-lightbox-is-active=\"false\">\r\n                                                            <\/div>\r\n            <\/div>\r\n            <div class=\"bs_gallery__lightbox--buttons bs_gallery__lightbox-main__button\" data-bs-lightbox-action=\"next\"><span>&rarr;<\/span><\/div>\r\n        <\/div>\r\n    <\/div>\r\n<\/div>\r\n<\/div>\n\n\n<p><em>In the figures: Meshless discretization and velocity field and streamlines of flow through a porous medium investigated in the work.<\/em><\/p>\n\n\n<div class=\"bs__links\">\r\n    <div class=\"bs__links__section\">\r\n        <ul class=\"bs__links__list\">\r\n                            <li class=\"bs__links__list__item\">\r\n                    <a href=\"https:\/\/www.nature.com\/articles\/s41598-025-05272-x\" class=\"bs__links__list__item__link\">\r\n                        The publication can be read here \r\n                        <div class=\"bs__links__list__item__link__before__icon\">\r\n                            <div class=\"bs__links__list__item__link__icon\">\r\n                                <svg width=\"40px\" height=\"40px\" viewBox=\"0 0 22 16\" version=\"1.1\">\r\n                                <g stroke=\"none\" strokeWidth=\"1\" fill=\"black\" fillRule=\"evenodd\">\r\n                                    <g>\r\n                                    <polygon points=\"13.4875 0 12 1.6215 18.7875 8 12 14.3795 13.4875 16 21.9995 8\" \/>\r\n                                    <\/g>\r\n                                <\/g>\r\n                                <\/svg>\r\n                            <\/div>\r\n                        <\/div>\r\n                    <\/a>\r\n                <li>\r\n                            <li class=\"bs__links__list__item\">\r\n                    <a href=\"https:\/\/projekty.ncn.gov.pl\/index.php?projekt_id=537586\" class=\"bs__links__list__item__link\">\r\n                        More information about the NCN OpusLAP project &#8220;Inertial effects in fluid flow in complex porous media&#8221; (In Polish) \r\n                        <div class=\"bs__links__list__item__link__before__icon\">\r\n                            <div class=\"bs__links__list__item__link__icon\">\r\n                                <svg width=\"40px\" height=\"40px\" viewBox=\"0 0 22 16\" version=\"1.1\">\r\n                                <g stroke=\"none\" strokeWidth=\"1\" fill=\"black\" fillRule=\"evenodd\">\r\n                                    <g>\r\n                                    <polygon points=\"13.4875 0 12 1.6215 18.7875 8 12 14.3795 13.4875 16 21.9995 8\" \/>\r\n                                    <\/g>\r\n                                <\/g>\r\n                                <\/svg>\r\n                            <\/div>\r\n                        <\/div>\r\n                    <\/a>\r\n                <li>\r\n                    <\/ul>\r\n    <\/div>\r\n<\/div>","protected":false},"excerpt":{"rendered":"<p>A team of employees of FPAUWr and the &#8220;Jo\u017eef Stefan&#8221; Institute in Slovenia, including Dawid Strzelczyk, Miha Rot, Gregor Kosec, and Maciej Matyka, has just published a paper comparing two methods of numerically solving the Navier-Stokes equations, including in the context of porous media. The paper titled Cross-validation of meshless Navier-Stokes solvers in porous media [&hellip;]<\/p>\n","protected":false},"author":7182,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[389],"tags":[392],"class_list":["post-103042","post","type-post","status-publish","format-standard","hentry","category-publikacje-en","tag-publikacje-en"],"featured_image_urls_v2":{"full":"","thumbnail":"","medium":"","medium_large":"","large":"","1536x1536":"","2048x2048":"","menu-24x24":"","menu-36x36":"","menu-48x48":""},"post_excerpt_stackable_v2":"<p>Cross-validation of meshless Navier\u2013Stokes solvers in porous media flows A team of employees of FPAUWr and the &#8220;Jo\u017eef Stefan&#8221; Institute in Slovenia, including Dawid Strzelczyk, Miha Rot, Gregor Kosec, and Maciej Matyka, has just published a paper comparing two methods of numerically solving the Navier-Stokes equations, including in the context of porous media. The paper titled Cross-validation of meshless Navier-Stokes solvers in porous media flows published in the renowned journal Scientific Reports (Sci. Rep., 15, 33837 (2025)) is a direct effect of both groups cooperating under the NCN OpusLAP grant &#8220;Inertial effects in fluid flow in complex porous media&#8221; no.&hellip;<\/p>\n","category_list_v2":"<a href=\"https:\/\/wfa.uwr.edu.pl\/en\/category\/publikacje-en\/\" rel=\"category tag\">Publications<\/a>","author_info_v2":{"name":"kswistak","url":"https:\/\/wfa.uwr.edu.pl\/en\/author\/kswistak\/"},"comments_num_v2":"0 comments","acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Cross-validation of meshless Navier\u2013Stokes solvers in porous media flows - Faculty of Physics and Astronomy<\/title>\n<meta name=\"description\" content=\"Wydzia\u0142 Fizyki i Astronomii\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wfa.uwr.edu.pl\/en\/2026\/05\/18\/cross-validation-of-meshless-navier-stokes-solvers-in-porous-media-flows\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cross-validation of meshless Navier\u2013Stokes solvers in porous media flows - 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