Implementation of IDEAL algorithm based on Delaunay triangular mesh for 2D-compressible flows

Abstract

Purpose

To present the detailed implementation processes of the IDEAL algorithm for two-dimensional compressible flows based on Delaunay triangular mesh, and compare the performance of the SIMPLE and IDEAL algorithms for solving compressible problems. What’s more, the implementation processes of Delaunay mesh generation and derivation of the pressure correction equation are also introduced.

Design/methodology/approach

Programming completely in C++.

Findings

Five compressible examples are used to test the SIMPLE and IDEAL algorithms, and the comparison with measurement data shows good agreement. The IDEAL algorithm has much better performance in both convergence rate and stability over the SIMPLE algorithm.

Originality/value

The detail solution procedure of implementing the IDEAL algorithm for compressible flows based on Delaunay triangular mesh is presented in this work, seemingly first in the literature.

Citation

Wu, T.-Y., Zhang, J., Dai, Y., Cao, T.-F., Ling, K. and Tao, W.-Q. (2024), "Implementation of IDEAL algorithm based on Delaunay triangular mesh for 2D-compressible flows", Engineering Computations, Vol. 41 No. 3, pp. 630-654. https://doi.org/10.1108/EC-02-2023-0071