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This is a Quantitative Study study.

October 9, 2025

A Solution Adaptive Unstructured Mesh Method for Cascade Flow Calculations

Key Points

The adaptive grid method enhances resolution in aerodynamic calculations, ensuring more accurate flow analysis.
Computational results showed effective grid adaptation for both supersonic and transonic flows over various geometries.
Using second-order MUSCL interpolation and advanced Riemann solvers improves solution precision at critical flow conditions.
The study highlights the importance of grid topology on accuracy, particularly in supersonic flow expansion corners.

Abstract

Abstract This paper presents an adaptive grid method on quadrilateral meshes for solving the Euler equations with a high resolution finite volume scheme. Second-order MUSCL type interpolation with limiters based on characteristic variables and Roe’s approximate Riemann solver are used. Solution adaptation is through grid embedding and coarsening. Detailed computational results and comparisons with analytical solution and experimental data are presented for steady transonic flow over an NACA0012 airfoil, supersonic flow through a wedge cascade and the flow through a VKI turbine cascade. The effect of grid topology on solution accuracy at an expansion corner of a supersonic flow is discussed.

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