▪ 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 …

Pseudo-transient continuation (Ψ tc) is a well-known and physically motivated technique for
computation of steady state solutions of time-dependent partial differential equations …

An efficient gradient-based algorithm for aerodynamic shape optimization is presented. The
algorithm consists of several components, including a novel integrated geometry …

We present a parallel Newton–Krylov algorithm for solving the three-dimensional Euler
equations on multiblock structured meshes. The Euler equations are discretized on each …

A fast implicit Newton–Krylov finite volume algorithm has been developed for high-order
unstructured steady-state computation of inviscid compressible flows. The matrix-free …

The objective of the present paper is to demonstrate the effectiveness of a spatial
discretization based on summation-by-parts operators with simultaneous approximation …

The relative performance of a nonlinear full approximation storage multigrid algorithm and
an equivalent linear multigrid algorithm for solving two different nonlinear problems is …

Nodal integral methods (NIMs) have been proven effective in solving a wide range of
scientific and engineering problems by providing accurate solutions with coarser grids …

The nodal integral methods (NIMs) have found widespread use in the nuclear industry for
neutron transport problems due to their high accuracy. However, despite considerable …

The efficiency of an unstructured grid finite volume RANS solver is significantly improved
using two implicit methods based on differing philosophies. The LU-SGS multigrid method …