The meshfree finite volume method with application to multi-phase porous media models
From MaRDI portal
Publication:1685186
DOI10.1016/j.jcp.2016.12.045zbMath1375.76181OpenAlexW2562620467MaRDI QIDQ1685186
Brody H. Foy, Patrick Perré, Ian W. Turner
Publication date: 13 December 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.12.045
Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects ⋮ A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations ⋮ Algebraic-volume meshfree method for application in finite volume solver ⋮ A kernel-based technique to solve three-dimensional linear Fredholm integral equations of the second kind over general domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Efficient simulation of unsaturated flow using exponential time integration
- Radial point interpolation collocation method (RPICM) for partial differential equations
- Multivariate interpolation at arbitrary points made simple
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
- The partition of unity finite element method: basic theory and applications
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis
- Arbitrary Lagrangian--Eulerian method for Navier--Stokes equations with moving boundaries
- Computational Inverse Techniques in Nondestructive Evaluation
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- The finite difference method at arbitrary irregular grids and its application in applied mechanics
- Two algorithms for constructing a Delaunay triangulation
- Basis functions for general Hsieh-Clough-Tocher triangles, complete or reduced
- Why Particle Methods Work
- On Cubic and Quartic Clough–Tocher Finite Elements
- Interpolation Error Estimates for the Reduced Hsieh-Clough-Tocher Triangle
- Element‐free Galerkin methods
- Exponential Integrators for Large Systems of Differential Equations
- Solving Nonlinear Equations with Newton's Method
- A point interpolation meshless method based on radial basis functions
- Reproducing kernel particle methods
- A Dual-Scale Modeling Approach for Drying Hygroscopic Porous Media
- Gaussian quadrature formulas for triangles
- Meshfree Methods
- Smoothing noisy data with spline functions