Time-stable overset grid method for hyperbolic problems using summation-by-parts operators
From MaRDI portal
Publication:1637559
DOI10.1016/j.jcp.2018.01.049zbMath1422.65181OpenAlexW2789326916MaRDI QIDQ1637559
Daniel J. Bodony, Nek Sharan, Carlos Pantano
Publication date: 8 June 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.01.049
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) Initial-boundary value problems for first-order hyperbolic systems (35L50)
Related Items (9)
On the theoretical foundation of overset grid methods for hyperbolic problems: well-posedness and conservation ⋮ An immersed boundary method with implicit body force for compressible viscous flow ⋮ Implementation of a stable high-order overset grid method for high-fidelity simulations ⋮ High-order dimensionally-split Cartesian embedded boundary method for non-dissipative schemes ⋮ Multi-rate time integration on overset meshes ⋮ Mixing, scalar boundedness, and numerical dissipation in large-eddy simulations ⋮ Turbulent shear-layer mixing: initial conditions, and direct-numerical and large-eddy simulations ⋮ Time Stability of Strong Boundary Conditions in Finite-Difference Schemes for Hyperbolic Systems ⋮ Summation-by-parts finite-difference shallow water model on the cubed-sphere grid. I: Non-staggered grid
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical methods for solid mechanics on overlapping grids: linear elasticity
- Energy stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition
- Summation-by-parts operators and high-order quadrature
- Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates
- Nondissipative and energy-stable high-order finite-difference interface schemes for 2-D patch-refined grids
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions
- A composite grid solver for conjugate heat transfer in fluid-structure systems
- A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
- On the use of composite grid schemes in computational aerodynamics
- A conservative treatment of zonal boundaries for Euler equation calculations
- A diagonal form of an implicit approximate-factorization algorithm
- Approximate Riemann solvers, parameter vectors, and difference schemes
- On composite mesh difference methods for hyperbolic differential equations
- A stable and conservative interface treatment of arbitrary spatial accuracy
- Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
- 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
- On coordinate transformations for summation-by-parts operators
- On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
- 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
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
- A class of energy stable, high-order finite-difference interface schemes suitable for adaptive mesh refinement of hyperbolic problems
- Accurate partial difference methods. II: Non-linear problems
- A High‐Order Accurate Parallel Solver for Maxwell’s Equations on Overlapping Grids
- Convenient Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems
- Stability of Finite-Difference Models Containing Two Boundaries or Interfaces
- On Conservation at Grid Interfaces
- Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. II
- A dynamic subgrid-scale model for compressible turbulence and scalar transport
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- Scheme-Independent Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. I
- A Scheme for Conservative Interpolation on Overlapping Grids
- Convenient Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems. II
This page was built for publication: Time-stable overset grid method for hyperbolic problems using summation-by-parts operators
