Accurate and Robust Fluid Analysis Using Cubic Interpolation with Volume/Area Coordinates (CIVA) Method on Unstructured Grids

Abstract

This paper concerns the cubic interpolation with volume/area coordinates (CIVA) method, which is an extension of the cubic interpolation profile (CIP) to a triangular or tetrahedral mesh system, implemented in an unstructured and fixed (Eulerian) mesh-based finite-volume solver. First, we briefly explain the accuracy of and the results of stability analysis by CIVA. Then, to demonstrate the accuracy and robustness of the algorithm, we solve two-dimensional benchmark problems of incompressible lid-driven recirculating flow in square and triangular cavities. In addition, a two-dimensional vortex-driven flow is solved in order to analyze the conservative property of CIVA. Finally, an example of an industrial application of CIVA method is described. These numerical experiments demonstrate the high capability of the method and that it is sufficiently robust for complex industrial applications.

Pressure‐based unified solver for gas‐liquid two‐phase flows where compressible and incompressible flows coexist

“…For instance, turbulent flows have not been calculated by the thermo–CIP‐CUP method with LES, and the introduction of artificial viscosity was required to calculate supersonic flow in the work of Himeno and Watanabe . The implementation on unstructured grids requires a special technique such as the cubic interpolation with volume/area coordinates method, as done in the work of Tanaka et al for triangular unstructured grids.…”