GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Defect correction and multigrid for an efficient and accurate computation of airfoil flows
Journal of Computational Physics
Upwind relaxation methods for the Navier-Stokes Equations using inner iterations
Journal of Computational Physics
An implicit upwind algorithm for computing turbulent flows on unstructured grids
Computers and Fluids
A quadtree-based adaptively-refined Cartesian-grid algorithm for solution of the Euler equations
A quadtree-based adaptively-refined Cartesian-grid algorithm for solution of the Euler equations
Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
Journal of Computational Physics
Implicit/multigrid algorithms for incompressible turbulent flows on unstructured grids
Journal of Computational Physics
A fast, matrix-free implicity method for compressible flows on unstructured grids
Journal of Computational Physics
A robust multigrid algorithm for the Euler equations with local preconditioning and semi-coarsening
Journal of Computational Physics
A fully discrete, kinetic energy consistent finite-volume scheme for compressible flows
Journal of Computational Physics
Solution-limited time stepping to enhance reliability in CFD applications
Journal of Computational Physics
Hi-index | 31.46 |
An efficient and robust implicit operator for the point Gauss-Seidel method is presented for solving the compressible Euler equations. The new implicit operator was derived by adding a scalar form of artificial dissipation to the upwind implicit side. The amount of artificial dissipation was locally adjusted using a weighting factor based on the solution gradient. For validation, the performance of the new implicit operator was compared in detail with that of several existing implicit operators which have been widely used for solving the flow equations. Numerical experiments showed that the stability and convergence characteristics of the new implicit operator are significantly better than those of other existing implicit operators for calculating flows ranging from subsonic to hypersonic speeds.