Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials
DOI10.1007/S00211-011-0402-3zbMath1332.76034OpenAlexW1990585322MaRDI QIDQ663267
Publication date: 14 February 2012
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-011-0402-3
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (22)
Cites Work
- Unnamed Item
- Unnamed Item
- Global existence of weak solution to the heat and moisture transport system in fibrous porous media
- A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems
- Moisture transport in fibrous clothing assemblies
- A numerical method for the ternary Cahn-Hilliard system with a degenerate mobility
- Mathematical theory of stationary miscible filtration
- Finite difference method of first boundary problem for quasilinear parabolic systems. V
- Heat and moisture transfer with sorption and condensation in porous clothing assemblies and numerical simulation
- On existence and uniqueness results for a coupled systems modeling miscible displacement in porous media
- Mathematical modeling of heat transfer, condensation, and capillary flow in porous insulation on a cold pipe
- Quasi-steady-state and steady-state models for heat and moisture transport in textile assemblies
- Block Monotone Iterative Method for Semilinear Parabolic Equations with Nonlinear Boundary Conditions
- Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations
- An Optimal-Order Error Estimate for a Family of ELLAM-MFEM Approximations to Porous Medium Flow
- Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
- Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
- Strong solutions to a nonlinear parabolic system modeling compressible miscible displacement in porous media
- An Iterative Perturbation Method for the Pressure Equation in the Simulation of Miscible Displacement in Porous Media
- A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Dirichlet boundary value conditions
- Stability Condition for Difference Schemes for Parabolic Systems
- A Finite Difference Scheme for Some Nonlinear Diffusion Equations in an Absorbing Medium: Support Splitting Phenomena
- Convergence of Implicit Finite Difference Methods Applied to Nonlinear Mixed Systems
- Global Existence of Weak Solution for Nonisothermal Multicomponent Flow in Porous Textile Media
- An error estimate on a Galerkin method for modeling heat and moisture transfer in fibrous insulation
- Moisture Transport and Diffusive Instability During Bread Baking
This page was built for publication: Finite difference methods for a nonlinear and strongly coupled heat and moisture transport system in textile materials