Linearity preserving modified LDA methods for unsteady advection-diffusion problems
From MaRDI portal
Publication:6052308
DOI10.1016/j.camwa.2023.06.028OpenAlexW4383032375MaRDI QIDQ6052308
Vishal Singh, Farzad Ismail, Hossain Chizari
Publication date: 21 September 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.06.028
Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Unnamed Item
- A finite volume formulation for transient convection and diffusion equations with unstructured distorted grids and its applications in fluid flow simulations with a collocated variable arrangement
- Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes
- A multidimensional generalization of Roe's flux difference splitter for the Euler equations
- On flux-difference residual distribution methods
- A priori mesh quality estimation via direct relation between truncation error and mesh distortion
- Residual distribution schemes: current status and future trends
- A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- An accuracy assessment of Cartesian-mesh approaches for the Euler equations
- Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems.
- High-order fluctuation schemes on triangular meshes
- Accuracy analysis of unstructured finite volume discretization schemes for diffusive fluxes
- Developments of entropy-stable residual distribution methods for conservation laws I: Scalar problems
- A grid-insensitive LDA method on triangular grids solving the system of Euler equations
- Non-unified compact residual-distribution methods for scalar advection-diffusion problems
- Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids
- On vorticity prediction using limited rotated Richtmyer scheme
- A Cartesian non-boundary fitted grid method on complex geometries and its application to the blood flow in the aorta using OpenFOAM
- Residual distribution schemes for Maxwell's equations
- Cell-vertex entropy-stable finite volume methods for the system of Euler equations on unstructured grids
- An entropy-stable residual distribution scheme for the system of two-dimensional inviscid shallow water equations
- Entropy consistent methods for the Navier-Stokes equations. A first-order systems approach
- Accuracy variations in residual distribution and finite volume methods on triangular grids
- A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes
- Essentially non-oscillatory residual distribution schemes for hyperbolic problems
- Time-explicit numerical methods for Maxwell's equation in second-order form
- Comparison of solution accuracy of multidimensional residual distribution and Godunov-type finite-volume methods
- Study of an entropy-consistent Navier–Stokes flux
- Toward the ultimate conservative scheme: Following the quest