An Efficient Sliding Mesh Interface Method for High-Order Discontinuous Galerkin Schemes

TL;DR

This paper introduces an efficient high-order sliding mesh interface method for discontinuous Galerkin schemes, enabling accurate and scalable simulations of rotating machinery in fluid dynamics.

Contribution

It presents a high-order accurate, efficient implementation of a sliding mesh method using the mortar approach for DG schemes, suitable for complex 3D interfaces and large-scale simulations.

Findings

Achieved high-order accuracy and conservation properties.

Reduced inter-node communication for scalable parallel performance.

Successfully applied to large eddy simulation of a turbine.

Abstract

Sliding meshes are a powerful method to treat deformed domains in computational fluid dynamics, where different parts of the domain are in relative motion. In this paper, we present an efficient implementation of a sliding mesh method into a discontinuous Galerkin compressible Navier-Stokes solver and its application to a large eddy simulation of a 1-1/2 stage turbine. The method is based on the mortar method and is high-order accurate. It can handle three-dimensional sliding mesh interfaces with various interface shapes. For plane interfaces, which are the most common case, conservativity and free-stream preservation are ensured. We put an emphasis on efficient parallel implementation. Our implementation generates little computational and storage overhead. Inter-node communication via MPI in a dynamically changing mesh topology is reduced to a bare minimum by ensuring a priori information about communication partners and data sorting. We provide performance and scaling results showing the capability of the implementation strategy. Apart from analytical validation computations and convergence results, we present a wall-resolved implicit LES of the 1-1/2 stage Aachen turbine test case as a large scale practical application example.