Symmetry-preserving WENO limiters

TL;DR

This paper introduces symmetry-preserving WENO limiters integrated with a DG hydrodynamic method, enhancing accuracy and robustness for radial flows on polar meshes, validated through challenging test problems.

Contribution

It presents novel WENO schemes that maintain cylindrical symmetry in radial flow simulations, combined with a Lagrangian DG method for improved robustness.

Findings

Enhanced accuracy in radial flow simulations

Robustness demonstrated on challenging test problems

Preservation of cylindrical symmetry in numerical schemes

Abstract

Weighted essentially non-oscillatory (WENO) reconstruction schemes are presented that preserve cylindrical symmetry for radial flows on an equal-angle polar mesh. These new WENO schemes are used with a Lagrangian discontinuous Galerkin (DG) hydrodynamic method. The solution polynomials are reconstructed using the WENO schemes where the DG solution is the central stencil. A suite of challenging test problems are calculated to demonstrate the accuracy and robustness of the new WENO schemes.