Artificial boundary conditions for incompressible viscous flows
SIAM Journal on Mathematical Analysis
Journal of Computational Physics
BoomerAMG: a parallel algebraic multigrid solver and preconditioner
Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss
hypre: A Library of High Performance Preconditioners
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Review of code and solution verification procedures for computational simulation
Journal of Computational Physics
Verification and Validation in Scientific Computing
Verification and Validation in Scientific Computing
Journal of Computational Physics
A stochastic Galerkin method for the Euler equations with Roe variable transformation
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.46 |
The method of manufactured solutions (MMS) is used to verify the convergence properties of a low-Mach number, variable-density flow code. Three MMS problems relevant to combustion applications are presented and tested on a variety of structured and unstructured grids. Several issues are investigated, including the use of tabulated state properties (i.e., density) and the effect of sub-iterations in the time-advancement method. The MMS implementations provide a quantitative framework to evaluate the impact of these practices on the code's convergence and order-of-accuracy. Simulation results show that linear interpolation of the equation-of-state causes numerical fluctuations that impede convergence and reduce accuracy. Likewise, the sub-iterative time-advancement scheme requires a significant number of outer iterations to subdue splitting errors in highly nonlinear combustion problems. These findings highlight the importance of careful code and solution verification in the simulation of variable-density flows.