This article reviews several unstructured grid-based high-order methods for the
compressible Euler and Navier–Stokes equations. We treat the spatial and temporal …

▪ Abstract An overview of the current state of the art in unstructured mesh techniques for
computational fluid dynamics is given. The topics of mesh generation and adaptation, spatial …

This work is devoted to the theory and approximation of nonlinear hyper bolic systems of
conservation laws in one or two space variables. It follows directly a previous publication on …

Abstract An implicit, Navier-Stokes solution algorithm is presented for the computation of
turbulent flow on unstructured grids. The inviscid fluxes are computed using an upwind …

An indispensable tool of the numerical solution of partial differential equations by finite-
element or finite-difference methods on general regions is a grid which represents the …

One of the major achievements in engineering science has been the development of
computer algorithms for solving nonlinear differential equations such as the Navier-Stokes …

The accuracy of the least-squares technique for gradient reconstruction on unstructured
meshes is examined. While least-squares techniques produce accurate results on arbitrary …

A number of approaches have evolved over the last decade for the implementation of total
variational diminishing (TVD) schemes within an unstructured grid finite volume method …

A finite-volume procedure, comprising a gradient-reconstruction technique and a
multidimensional limiter, has been proposed for upwind algorithms on unstructured grids …

A block lower–upper symmetric Gauss–Seidel (BLU-SGS) implicit dual time-stepping
method is developed for moving body problems with hybrid dynamic grids. To simulate flows …