Energy stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition
From MaRDI portal
Publication:453092
DOI10.1016/j.jcp.2012.03.003zbMath1251.65123OpenAlexW2043397717MaRDI QIDQ453092
Michael T. Heath, Daniel J. Bodony, Adam Reichert
Publication date: 18 September 2012
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2012.03.003
numerical examplesnumerical stabilityoverlapping domain decompositiongeneralized summation-by-partshigh order finite difference methodshyperbolic initial boundary value problems
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) Initial-boundary value problems for first-order hyperbolic systems (35L50) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items
Learning to differentiate, On the theoretical foundation of overset grid methods for hyperbolic problems: well-posedness and conservation, Time-stable overset grid method for hyperbolic problems using summation-by-parts operators, Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations, Implementation of a stable high-order overset grid method for high-fidelity simulations, A generalized framework for nodal first derivative summation-by-parts operators, Summation-by-Parts Operators for Non-Simply Connected Domains, Numerical investigation of a honeycomb liner grazed by laminar and turbulent boundary layers
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nondissipative and energy-stable high-order finite-difference interface schemes for 2-D patch-refined grids
- High order finite difference methods for wave propagation in discontinuous media
- Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation
- Composite overlapping meshes for the solution of partial differential equations
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions
- Stable and accurate wave-propagation in discontinuous media
- A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
- High-order accurate computations for unsteady aerodynamics
- Solving Navier-Stokes equation for flow past cylinders using single-block structured and overset grids
- On composite mesh difference methods for hyperbolic differential equations
- Adaptive local overlapping grid methods for parabolic systems in two space dimensions
- Compact finite difference schemes with spectral-like resolution
- Composite mesh difference methods for elliptic boundary value problems
- A stable and conservative interface treatment of arbitrary spatial accuracy
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Conservative and non-conservative interpolation between overlapping grids for finite volume solutions of hyperbolic problems
- Stability of interpolation on overlapping grids
- An adaptive numerical scheme for high-speed reactive flow on overlapping grids.
- On coordinate transformations for summation-by-parts operators
- Adaptive spatial partitioning and refinement for overset structured grids
- Summation by parts operators for finite difference approximations of second derivatives
- A fully conservative interface algorithm for overlapped grids
- Strict stability of high-order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs. I
- Strict stability of high-order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs. II
- Study of interpolation methods for high-accuracy computations on overlapping grids
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
- The method of composite meshes for finite and infinite regions with piecewise smooth boundary
- A mesh method for finite and infinite polygons and error bounds in terms of known quantities
- High-order compact finite-difference methods on general overset grids
- A stable hybrid method for hyperbolic problems
- Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods
- A highly automated parallel Chimera method for overset grids based on the implicit hole cutting technique
- Third-order Cartesian overset mesh adaptation method for solving steady compressible flows
- An Algorithm for Assembling Overlapping Grid Systems
- A Scheme for Conservative Interpolation on Overlapping Grids
- Hole-Cutting for Three-Dimensional Overlapping Grids
- Well-Posed Boundary Conditions for the Navier--Stokes Equations
