Validation of a high-order finite difference compressible solver

TL;DR

This paper presents the validation of a high-order finite difference compressible solver, demonstrating its accuracy in capturing shocks, vortical structures, and turbulence statistics across various canonical test cases.

Contribution

It introduces a validated high-order compact finite difference solver for compressible flows, verified against multiple canonical problems and reference data.

Findings

Accurate shock capturing demonstrated.

Effective resolution of vortical structures.

Good agreement with reference turbulence data.

Abstract

The verification and validation of a high-order compressible in-house solver based on a compact finite difference scheme are presented. Validation is performed using five canonical cases: the one-dimensional Sod shock tube problem, two-dimensional shock-shear layer interaction, compressible channel flow, compressible turbulent boundary layer, and shock-turbulent boundary layer interaction. Comparisons against exact solutions and reference direct numerical simulation data demonstrate accurate shock capturing, resolution of vortical structures, and good agreement for first and second order statistics.