Pregled bibliografske jedinice broj: 931968
Adaptive Fup Finite Volume Method for groundwater flow modelling in highly heterogeneous porous media
Adaptive Fup Finite Volume Method for groundwater flow modelling in highly heterogeneous porous media // Coupled problems 2017
Rodos, Grčka, 2017. (predavanje, podatak o recenziji nije dostupan, neobjavljeni rad, znanstveni)
CROSBI ID: 931968 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Adaptive Fup Finite Volume Method for groundwater flow modelling in highly heterogeneous porous media
Autori
Gotovac, Hrvoje ; Malenica, Luka ; Kamber, Grgo ; Gotovac, Blaž ; Kozulić, Vedrana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Coupled problems 2017
Mjesto i datum
Rodos, Grčka, 12.06.2017. - 14.06.2017
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Podatak o recenziji nije dostupan
Ključne riječi
adaptive ; fup basis functions ; finite volume method
Sažetak
Contaminant and tracer transport, groundwater age or remediation analysis as well as many other important transport applications require demanding solving of the Darcy flow in heterogeneous porous media [1]. Groundwater flow simulations, especially in large, highly heterogeneous and anisotropic aquifers, require multi-resolution approach due to resolving many heterogeneity scales, extensive computational resources and accurate velocity field. Despite development of modern numerical and stochastic methods with many desirable properties, the majority of groundwater community has used common numerical methods based on the finite element and finite volume approaches through the Monte Carlo method. These common methods assume discontinuous conductivity field (or piecewise cell/element continuous) and mesh based limitations causing velocity discontinuities and/or numerical errors along the cell or element interfaces introducing additional numerical dispersion. Reliable transport simulations, which support velocity dependent dispersion tensor, require very accurate velocity field which enables mass balance property, continuity of velocities and its derivatives and resolving of all heterogeneity scales. Usually, at least some of these properties are violated by all existing methods (not only common methods), especially truly multiresolution conceptualization and continuity of velocities derivatives. In this paper, we present novel Adaptive Fup Finite Volume Method (AFFVM), based on Fup basis functions and concept of the finite control volumes [2, 3]. New methodology satisfies mass balance exactly on the finite volumes and presents conductivity and head as continuous functions independently to each other in meshless and multiresolution way using only linear combination of Fup basis functions finding all spatial scales for both variables. Due to the finiteness and approximation properties of these basis functions, velocity field (using the Darcy law) and its derivatives are continuous and obtained by prescribed accuracy satisfying all mentioned requirements. Methodology is presented and verified using the 2-D and 3-D numerical and stochastic benchmark simulations.
Izvorni jezik
Engleski
POVEZANOST RADA
Projekti:
HRZZ-UIP-2013-11-8103 - Modeliranje toka podzemnih voda u krškim vodonosnicima (Karst modelling) (Gotovac, Hrvoje, HRZZ ) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split
Profili:
Grgo Kamber
(autor)
Blaž Gotovac
(autor)
Hrvoje Gotovac
(autor)
Luka Malenica
(autor)
Vedrana Kozulić
(autor)