An asymptotically stable compact upwind-biased finite-difference scheme for hyperbolic systems
DOI10.1016/j.jcp.2005.01.030zbMath1073.65082OpenAlexW2088171053WikidataQ61613035 ScholiaQ61613035MaRDI QIDQ2485695
Leonhard Kleiser, A. Jocksch, Nikolaus A. Adams
Publication date: 5 August 2005
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2005.01.030
asymptotic stabilityeigensolutionscompressible Navier-Stokes equationsfinite-difference schemeslinear hyperbolic systemscompressible Couette flow
Navier-Stokes equations for incompressible viscous fluids (76D05) 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 value problems for first-order hyperbolic systems (35L45)
Related Items (max. 100)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A comparative performance evaluation of 27 nonlinear programming codes
- Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundstroem
- Compact finite difference schemes with spectral-like resolution
- Direct numerical simulation of turbulent compression ramp flow
- On performance of methods with third- and fifth-order compact upwind differencing
- Numerical studies of hyperbolic IBVP with high-order finite difference operators satisfying a summation by parts rule
- The stability of numerical boundary treatments for compact high-order finite-difference schemes
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Numerical methods for hypersonic boundary layer stability
- A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
- Solving Ordinary Differential Equations I
- Stability of Finite-Difference Models Containing Two Boundaries or Interfaces
- Wave propagation analysis of difference schemes for hyperbolic equations: A review
- The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
- On the linear stability of compressible plane Couette flow
- The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
- M<scp>ODELING</scp> A<scp>RTIFICIAL</scp> B<scp>OUNDARY</scp> C<scp>ONDITIONS FOR</scp> C<scp>OMPRESSIBLE</scp> F<scp>LOW</scp>
This page was built for publication: An asymptotically stable compact upwind-biased finite-difference scheme for hyperbolic systems