A multidomain spectral method for supersonic reactive flows.

DOI10.1016/j.jcp.2003.07.022zbMath1047.76088OpenAlexW2082713279MaRDI QIDQ1418655

David Gottlieb, Jae-Hun Jung, Wai-Sun Don

Publication date: 14 January 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2060/20020079876

zbMATH Keywords

SupersoniccombustorCompressible Navier--Stokes equationsMultidomain spectral methodPenalty interface conditionsRecessed cavity flame-holder

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Reaction effects in flows (76V05) Supersonic flows (76J20)

Related Items

Application of spectral filtering to discontinuous Galerkin methods on triangulations, On the numerical convergence with the inverse polynomial reconstruction method for the resolution of the Gibbs phenomenon, High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods, Adaptive Spectral Filtering and Digital Total Variation Postprocessing for the DG Method on Triangular Grids: Application to the Euler Equations, Effective numerical viscosity in spectral multidomain penalty method-based simulations of localized turbulence, Stability analysis and highly accurate numerical approximation of Fisher's equations using pseudospectral method, New adaptive modal and DTV filtering routines for the DG method on triangular grids applied to the Euler equations, A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence, Local spectral time splitting method for first- and second-order partial differential equations, A pseudospectral method of solution of Fisher's equation, Pseudospectral method of solution of the Fitzhugh-Nagumo equation, A SPECTRAL COLLOCATION APPROXIMATION FOR THE RADIAL-INFALL OF A COMPACT OBJECT INTO A SCHWARZSCHILD BLACK HOLE, Large-eddy simulation of a plane reacting jet transversely injected into supersonic turbulent channel flow

Cites Work

• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• Optimal time splitting for two- and three-dimensional Navier-Stokes equations with mixed derivatives
• On the symmetric form of systems of conservation laws with entropy
• Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
• Numerical simulation of shock-cylinder interactions. I: Resolution
• A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations
• Convergence of Spectral Methods for Nonlinear Conservation Laws
• Analysis of the Spectral Vanishing Viscosity Method for Periodic Conservation Laws
• A Stable Penalty Method for the Compressible Navier--Stokes Equations: III. Multidimensional Domain Decomposition Schemes
• Spectral Simulation of Supersonic Reactive Flows
• A Stable Penalty Method for the Compressible Navier--Stokes Equations: II. One-Dimensional Domain Decomposition Schemes
• Chebyshev--Legendre Super Spectral Viscosity Method for Nonlinear Conservation Laws
• Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
• A Stable Penalty Method for the Compressible Navier–Stokes Equations: I. Open Boundary Conditions
• High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates