Analysis of the spectral vanishing viscosity method for periodic conservation laws
SIAM Journal on Numerical Analysis
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Convergence of spectral methods for nonlinear conservation laws
SIAM Journal on Numerical Analysis
Legendre pseudospectral viscosity method for nonlinear conservation laws
SIAM Journal on Numerical Analysis
Numerical simulation of shock-cylinder interactions I.: resolution
Journal of Computational Physics
A Stable Penalty Method for the Compressible Navier--Stokes Equations: I. Open Boundary Conditions
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Chebyshev--Legendre Spectral Viscosity Method for Nonlinear Conservation Laws
SIAM Journal on Numerical Analysis
Spectral Simulation of Supersonic Reactive Flows
SIAM Journal on Numerical Analysis
Journal of Computational Physics
High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates
Journal of Computational Physics
A pseudospectral method of solution of Fisher's equation
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Pseudospectral method of solution of the Fitzhugh-Nagumo equation
Mathematics and Computers in Simulation
Hi-index | 31.46 |
This paper has a dual purpose: it presents a multidomain Chebyshev method for the solution of the two-dimensional reactive compressible Navier-Stokes equations, and it reports the results of the application of this code to the numerical simulations of high Mach number reactive flows in recessed cavity. The computational method utilizes a newly derived interface boundary conditions as well as an adaptive filtering technique to stabilize the computations. The results of the simulations are relevant to recessed cavity flame-holders.