Use of the Momentum Interpolation Method for Numerical Solution of Incompressible Flows in Complex Geometries: Choosing Cell Face Velocities

An Efficient Three-Dimensional Calculation Procedure for Incompressible Flows in Complex Geometries

“…The convergence histories shown in Fig. 2d are for the case of a, -a, -a this test problem and those reported in the present authors' previous work [7] for the two-dimensional case provide some evidence for introducing the covariant cell face velocities-based scheme in the present study. However, the scheme is not free of problems.…”

“…In a segregated solution procedure such as the SIMPLE algorithm or its variants Recently, the present authors [7] In the present study, a three-dimensional finite-volume calculation procedure for incompressible flows in complex geometries is presented. The scheme is based on the modified Rhie and Chow scheme in which the curvilinear covariant velocity components are selected as cell face velocities.…”

Study on Momentum Interpolation Methods with Curvilinear Collocated Grids in Single-Phase and Two-Phase Flows

“…After the creation and subsequent revisions, the momentum interpolation method was applied widely in many aspects, e.g., Mencinger [13] applied it to the simulation of two-phase flow, Liu [14] applied it to sediment-laden flow, and Wen [15] used it for simulation of acoustic noise generation and the problem of gust-airfoil interaction. Choi [16,17] made great progress in using the momentum interpolation method to compute incompressible flows in complex geometries and flows with a large body force.…”

The momentum interpolation method based on the time-marching algorithm for All-Speed flows

“…Although the staggered-grids method is more effective, the MIM is preferred in practice because of its easier coding and less computational cost. The MIM was proposed firstly by Rhie and Chow [9], and has got great development for complex geometry [10], unsteady flows [11][12][13][14], flows with a large body force [15], etc.…”