A high order positivity-preserving conservative WENO remapping method on 3D tetrahedral meshes

We propose a high order positivity-preserving conservative remapping method on three-dimensional (3D) tetrahedral meshes , based the weighted essentially non-oscillatory (WENO) reconstruction method. By precisely computing overlaps between before and after rezoning step in arbitrary Lagrangian–Eulerian (ALE) framework, our does not limit range of mesh movements has wider applications. This also makes process simpler to attain high-order accuracy. use third multi-resolution WENO procedure this paper as an example, which we reconstruct three polynomials different orders via nested central spatial stencils distribute nonlinear weights smoothness polynomials, ensuring optimal accuracy smooth region while avoiding numerical oscillations non-smooth region. The involves fewer can positive linear weights, making it more effective for 3D problem. incorporate efficient local limiting preserve positivity physical variables involved ALE framework without sacrificing original conservation. A set tests are provided verify properties algorithm, such accuracy, conservation, performance, efficiency.