Practical Performance Models for High-Order CFD Simulation

This paper discusses the performance model for practical computational fluid dynamics (CFD) simulation. Based on the analysis of the conventional qualitative model and empirical knowledge in the simulation, a set of practical models for the linear solution in high-order finite element method (FEM) simulation are established: a linear function model for the storage consumption, and a power function model for the solution time. The unknown parameters in the models are estimated by linear fitting and nonlinear fitting, respectively. Tests on a typical high-order FEM platform show that the proposed models are highly accurate and practical. In addition, it has been tested that nonlinear fitting is better than linear fitting in our case.