The method of manufactured solutions is used to verify the order of accuracy of two finite‐
volume Euler and Navier–Stokes codes. The Premo code employs a node‐centred …

We propose a new variant of smoothed aggregation (SA) suitable for nonsymmetric linear
systems. The new algorithm is based on two key generalizations of SA: restriction smoothing …

A detailed code verification study of a finite volume Computational Fluid Dynamics (CFDs)
code using the Method of Manufactured Solutions is presented. The correctness of the code …

The computational fluid dynamics code Premo is currently being developed to solve
compressible flow problems with a finite-volume approach using unstructured meshes. This …

In this paper, we derive a family of source term quadrature formulas for preserving third-
order accuracy of the node-centered edge-based discretization for conservation laws with …

To establish confidence in the code, a rigorous assessment of boundary condition
implementation is necessary. In this work, techniques are presented for performing code …

A methodology is presented for generating exact solutions to equations that are “near” the
Navier-Stokes equations. First, a highly accurate numerical solution to the Navier-Stokes …

This paper presents a robust and efficient Poisson solver that can produce accurate
solutions and gradients (eg, heat flux) on unstructured tetrahedral grids. The solver is …

Many time-dependent problems in the field of computational fluid dynamics can be solved in
a four-dimensional space-time setting. However, such problems are computationally …

A new generation of scientific and engineering applications are being developed to support
multiple coupled physics, adaptive meshes, and scaling in massively parallel environments …