Results 71 to 80 of about 1,059 (185)

Membrane finite element method for simulating fluid flow in porous medium

Water Science and Engineering, 2009
A new membrane finite element method for modeling fluid flow in a porous medium is presented in order to quickly and accurately simulate the geo-membrane fabric used in civil engineering.
Mei-li Zhan, Wen-jie Zhang, Jin-chang Sheng, Jian-hui Li, Shu-yuan He   +4 more
doaj   +1 more source

A review of numerical methods for flow and transport modeling in the vadose zone

Vadose Zone Journal, Volume 25, Issue 5, September/October 2026.
Abstract Accurate modeling of subsurface flow and transport processes in the vadose zone, governed by the Richards equation and advection‐dispersion equation, respectively, poses major numerical challenges due to the strong nonlinearity of the governing partial differential equations, spatial heterogeneity and anisotropy of the media parameters, and ...
Shruti Jain, Saumava Dey, B. R. Chahar
wiley   +1 more source

Preconditioning GMRES for discontinuous Galerkin approximations

Computer Assisted Methods in Engineering and Science, 2023
The paper presents an implementation and the performance of several preconditioners for the discontinuous Galerkin approximation of diffusion dominated and pure diffusion problems.
Krzysztof Banaś, Mary F. Wheeler
doaj  

Finite Element Implementation of SAFE for Asymmetric Stream‐Aquifer Flow Exchange

Groundwater, Volume 64, Issue 5, Page 650-668, September/October 2026.
Abstract Climate change and human activities increasingly affect interconnected stream–aquifer systems, motivating continued evaluation of how stream–aquifer interactions are represented in integrated groundwater–surface water models. Most groundwater models quantify stream–aquifer exchange using an empirical riverbed leakance parameter that is ...
G. Kourakos, H. Morel‐Seytoux, E. C. Dogrul, T. Kadir, H. E. Dahlke   +4 more
wiley   +1 more source

Application of discontinuous Galerkin method for solving a compressible five-equation two-phase flow model

Results in Physics, 2018
In this article, a reduced five-equation two-phase flow model is numerically investigated. The formulation of the model is based on the conservation and energy exchange laws. The model is non-conservative and the governing equations contain two equations
M. Rehan Saleem, Ishtiaq Ali, Shamsul Qamar   +2 more
doaj   +1 more source

Rheological Modeling and Numerical Simulation of Annular Flow of a Drilling Mud Based on Local Materials: Theoretical Parametric Study

Engineering Reports, Volume 8, Issue 8, August 2026.
Numerical and analytical modeling of annular flow reveals the hydraulic performance of sustainable drilling muds formulated from Congolese kaolinitic clay, okra mucilage, and plant ashes. Yield stress enhances cuttings transport, while shear‐thinning behavior reduces pressure losses and pumping energy.
Stanislas Ulrich Berry Moukila
wiley   +1 more source

On Discontinuous Galerkin Methods for Elliptic Problems with Discontinuous Coefficients [PDF]

Computational Methods in Applied Mathematics, 2003
AbstractDiscontinuous Galerkin methods for elliptic problems with discontinuous coefficients are discussed. First the error bound of the methods is analyzed. Then a multilevel additive Schwarz preconditioner for one of the discrete problems is designed and analyzed.
openaire   +2 more sources

Discontinuous Galerkin schemes for the Stokes problem [PDF]

EPJ Web of Conferences
Our aim is to develop a robust and flexible code to simulate flows in nuclear core reactors. Discontinuous Galerkin schemes are thus proposed here to solve the Stokes problem, which stands as a fundamental element in fluid mechanics.
Mroueh Mayssa, Jamelot Erell, Omnes Pascal   +2 more
doaj   +1 more source

Penalty‐free discontinuous Galerkin method

International Journal for Numerical Methods in Engineering
AbstractIn this article, we present a new high‐order discontinuous Galerkin (DG) method, in which neither a penalty parameter nor a stabilization parameter is needed. We refer to this method as penalty‐free DG. In this method, the trial and test functions belong to the broken Sobolev space, in which the functions are in general discontinuous on the ...
Jan Jaśkowiec, N. Sukumar
openaire   +3 more sources

An implicit-explicit Runge-Kutta discontinuous Galerkin method for advection-diffusion equations

四川大学学报. 自然科学版
In this paper， an implicit-explicit Runge-Kutta discontinuous Galerkin method is proposed for the advection-diffusion equation.In the method， a two-stage Runge-Kutta scheme is employed for the temporal discretization， a discontinuous Galerkin method is ...
QING Shuwen, WANG Lu, FENG Minfu
doaj