Flow Simulation in Heterogeneous Porous Media With the Moving Least-Squares Method
From MaRDI portal
Publication:5738155
DOI10.1137/16M1070840zbMath1362.76036MaRDI QIDQ5738155
Rohan Panchadhara, Dimitar Trenev, Laurent White
Publication date: 31 May 2017
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
flows in porous mediahigh-order methodfinite-volume methodmoving least-squaresdiscontinuous permeability tensor\(K\)-orthogonality
Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Finite volume methods applied to problems in fluid mechanics (76M12)
Related Items (3)
Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh ⋮ Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes ⋮ Consistency and local conservation in finite-element simulation of flow in porous media
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems
- Solving diffusion equations with rough coefficients in rough grids
- A monotone nonlinear finite volume method for diffusion equations and multiphase flows
- Discontinuous upwinding and mixed finite elements for two-phase flows in reservoir simulation
- A multilevel multiscale mimetic (M\(^3\)) method for two-phase flows in porous media
- A method for automatic history matching of a compositional reservoir simulator with multipoint flux approximation
- High-order finite volume methods and multiresolution reproducing kernels
- A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes
- Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
- Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured grids
- A triangle based mixed finite element -- finite volume technique for modeling two phase flow through porous media
- An introduction to multipoint flux approximations for quadrilateral grids
- Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media
- Interpretation of a two-point flux stencil for skew parallelogram grids
- On the accuracy of finite volume and discontinuous Galerkin discretizations for compressible flow on unstructured grids
- High-order finite volume schemes on unstructured grids using moving least-squares reconstruction. Application to shallow water dynamics
- Mathematical Structure of the Black-Oil Model for Petroleum Reservoir Simulation
- Surfaces Generated by Moving Least Squares Methods
- A Mixed Finite Element--Finite Volume Formulation of the Black-Oil Model
- Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
- Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results
- Analysis of a Compositional Model for Fluid Flow in Porous Media
- Computational Methods for Multiphase Flows in Porous Media
This page was built for publication: Flow Simulation in Heterogeneous Porous Media With the Moving Least-Squares Method