Mesh optimization to improve the stability of finite-volume methods on unstructured meshes

DOI10.1016/j.compfluid.2017.04.020zbMath1390.76539OpenAlexW2607011161MaRDI QIDQ1648511

Reza Zangeneh, Carl F. Ollivier-Gooch

Publication date: 27 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.04.020

zbMATH Keywords

unstructured meshesfinite volumeenergy stabilityeigenvalue derivativeseigen-analysisspectral stability analysis

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

A novel approach to mesh optimization to stabilize unstructured finite volume simulations ⋮ Mesh optimization using an improved self-organizing mechanism ⋮ Efficient gradient stencils for robust implicit finite-volume solver convergence on distorted grids ⋮ Stability analysis and improvement of the solution reconstruction for cell-centered finite volume methods on unstructured meshes ⋮ Boundary condition optimization to improve the stability of inviscid and compressible finite-volume methods on unstructured meshes

Uses Software

• PETSc

Cites Work

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• An implicit matrix-free discontinuous Galerkin solver for viscous and turbulent aerodynamic simulations
• Finite difference methods for viscous incompressible global stability analysis
• Globalized matrix-explicit Newton-GMRES for the high-order accurate solution of the Euler equations
• Stability of the method of lines
• Stability analysis of the cell centered finite-volume MUSCL method on unstructured grids
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues
• Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver
• A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
• Stability of the MUSCL schemes for the Euler equations
• Efficient Implementation of High Order Reconstruction in Finite Volume Methods
• Computation of eigenvalue and eigenvector derivatives for a general complex-valued eigensystem
• Derivatives of eigenvalues and eigenvectors of a general complex matrix
• Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory
• Derivatives of Eigenvalues and Eigenvectors for a General Matrix
• Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems
• Rates of change of eigenvalues and eigenvectors.

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