An unstructured grid implementation of high-order spectral finite volume schemes

High-order TVD shock-capturing schemes for unstructured grid solvers

Efficient Implementation of High-Order Spectral Volume Method for Multidimensional Conservation Laws on Unstructured Grids

An efficient implementation of the high-order spectral volume (SV) method is presented for multidimensional conservation laws on unstructured grids. In the SV method, each simplex grid cell is called a spectral volume (SV), and the SV is further subdivided into polygonal (2D), or polyhedral (3D) control volumes (CVs) to support high-order data reconstructions. In the traditional implementation,...

Efficient quadrature-free high-order spectral volume method on unstructured grids: Theory and 2D implementation

An efficient implementation of the high-order spectral volume (SV) method is presented for multi-dimensional conservation laws on unstructured grids. In the SV method, each simplex cell is called a spectral volume (SV), and the SV is further subdivided into polygonal (2D), or polyhedral (3D) control volumes (CVs) to support high-order data reconstructions. In the traditional implementation, Gau...

A High Order Accurate Unstructured Spectral Finite Volume Implicit Algorithm for Inviscid Compressible Flows

Abstract. The purpose of this work is to develop a methodology that achieves high order spatial discretization for compressible aerodynamic flows based on the spectral finite volume method for hyperbolic conservation laws. High order methods are necessary on the analysis of complex flows to reduce the number of mesh elements one would otherwise need if using traditional second-order schemes. In...

An unstructured-grid, finite-volume, nonhydrostatic, parallel coastal ocean simulator

A finite-volume formulation is presented that solves the three-dimensional, nonhydrostatic Navier–Stokes equations with the Boussinesq approximation on an unstructured, staggered, z-level grid, with the goal of simulating nonhydrostatic processes in the coastal ocean with grid resolutions of tens of meters. In particular, the code has been developed to simulate the nonlinear, nonhydrostatic int...