"http://www.isvav.cz/projectDetail.do?rowId=GAP105/12/0331"^^ . . . . "Porous media Transport processes Upscaling Fast Fourier transform Approximate approximations"@en . . . . . . . . . . "2014-04-18+02:00"^^ . "0"^^ . "2012-01-01+01:00"^^ . "1"^^ . . . "Efficient solvers for transport processes in saturated and unsaturated porous media"@en . "Efektivn\u00ED \u0159e\u0161i\u010De transportn\u00EDch proces\u016F v saturovan\u00E9m a nesaturovan\u00E9m por\u00E9zn\u00EDm prost\u0159ed\u00ED" . . "2015-05-22+02:00"^^ . "24"^^ . "2014-12-31+01:00"^^ . . "0"^^ . "GAP105/12/0331" . . "24"^^ . "Modely proud\u011Bn\u00ED v por\u00E9zn\u00EDm prost\u0159ed\u00ED jsou nepostradateln\u00E9 v \u0159ad\u011B in\u017Een\u00FDrsk\u00FDch aplikac\u00ED jako je v\u00FDroba kompozit\u016F, hydrogeologie, geomechanika, pr\u016Fzkum horninov\u00FDch lo\u017Eisek nebo biomechanika. Efektivn\u00ED parametry transportn\u00EDch proces\u016F lze z\u00EDskat homogenizac\u00ED odezvy reprezentativn\u00EDho objemov\u00E9ho vzorku z ni\u017E\u0161\u00EDch \u00FArovn\u00ED s jasn\u011B definovanou mikrostrukturou a zn\u00E1m\u00FDmi parametry p\u00F3r\u016F a pevn\u00E9 f\u00E1ze. Tento p\u0159\u00EDstup v\u0161ak nar\u00E1\u017E\u00ED na dv\u011B z\u00E1sadn\u00ED \u00FAskal\u00ED, a to na velmi slo\u017Eitou geometrii por\u00E9zn\u00ED mikrostruktury a rozd\u00EDln\u00FD fyzik\u00E1ln\u00ED popis transportu v obou f\u00E1z\u00EDch. C\u00EDlem navrhovan\u00E9ho projektu je tedy v\u00FDvoj efektivn\u00EDch teoretick\u00FDch a v\u00FDpo\u010Detn\u00EDch model\u016F proud\u011Bn\u00ED pro nesaturovan\u00E1 a saturovan\u00E1 prost\u0159ed\u00ED popsan\u00E1 pomoc\u00ED rastrov\u00FDch dat ve vysok\u00E9m rozli\u0161en\u00ED. Tyto metody navazuj\u00ED na na\u0161e v\u00FDsledky z\u00EDskan\u00E9 studiem rychl\u00FDch suma\u010Dn\u00EDch technik pro v\u00FDpo\u010Det mechanick\u00FDch pol\u00ED ve vysoce kontrastn\u00EDch heterogenn\u00EDch pevn\u00FDch l\u00E1tk\u00E1ch. Mikroskopick\u00E9 simulace budou dopln\u011Bny o novou techniku p\u0159enosu dat mezi \u00FArovn\u011Bmi, kter\u00E1 je zalo\u017Eena na metod\u011B hybridn\u00EDch kone\u010Dn\u00FDch prvk\u016F." . . "Project solution followed in general the project proposal. Due to the complexity of the studied problem, however, the project proposal plan has not exactly been followed: some aspects were studied in greater detail than expected, and some other aspects in less detail. In general, however, the project brought a number of valuable scientific results and quality impact journal publications."@en . . "\u0158e\u0161en\u00ED projektu r\u00E1mcov\u011B prob\u00EDhalo v souladu s p\u0159ihl\u00E1\u0161kou projektu, i kdy\u017E d\u00EDky komplexnosti studovan\u00E9 problematiky do\u0161lo k ur\u010Dit\u00FDm odchylk\u00E1m od p\u016Fvodn\u00EDho pl\u00E1nu: n\u011Bkter\u00E9 probl\u00E9my byly studov\u00E1ny ve v\u011Bt\u0161\u00EDm detailu (WP1 a WP2) a n\u011Bkter\u00E9 naopak nebyly zcela dokon\u010Deny (WP3). Celkov\u011B ov\u0161em v\u00FDzkumn\u00FD projekt p\u0159inesl \u0159adu cenn\u00FDch poznatk\u016F a kvalitn\u00EDch publikac\u00ED, panel \u0159e\u0161en\u00ED hodnot\u00ED hodnocen\u00EDm %22spln\u011Bno%22."@cs . . "Predictive models of the fluid flow in porous media are crucial in diverse applications such as composites manufacturing, hydrogeology, soil and reservoir rock mechanics and tissue engineering. In the homogenization-based approach, the effective transport parameters are deduced from sub-scale problems defined by a representative sample of the microstructure and local properties of pores and matrix. Two major challenges arise from the solution of the associated numerical models, in particular, the complex geometry of the porous space and different transport physics in both pores and matrix. Thus, the objective of the present project is to develop efficient theoretically-supported algorithms for simulation of flow in saturated and unsaturated media characterized by high-resolution raster data. The solvers will be based on our recent results in fast summation techniques for the evaluation of local fields in highly contrasted periodic and non-periodic heterogeneous solids. The fine scale behaviour will be incorporated into a novel up-scaling method based on hybrid finite elements."@en .