PNNL

Abstract

Boundary-layer meshes are important for numerical simulations in computational fluid dynamics, especially in biomedical computing such as the simulation of blood flow in blood vessels or air flow in lungs. Generating boundary-layer meshes is challenging for complex biological geometries. In this paper, we propose a novel technique for generating prismatic boundarylayer meshes. Our method advances the surface layers by solving the Lagrangian evolution equation with the local feature size as the speed function, solved using the face-offsetting method. We derive a new variational procedure to smooth the prismatic layers during mesh generation, which improves not only the shapes of the triangles but also the orthogonality of the mesh. In addition, we introduce simple and effective measures to guarantee the validity of the prisms everywhere within the mesh. Experimental results demonstrate the effectiveness of our method for complex biomedical geometries.