Invariant Discretization of the Incompressible Navier-Stokes Equations in Boundary Fitted Coordinates

Benchmark Solutions for the Incompressible Navier-Stokes Equations in General Coordinates on Staggered Grids

Finite-Volume Computation of Incompressible Turbulent Flows in General Coordinates on Staggered Grids

Invariant discretization of the - model in general co-ordinates for prediction of turbulent flow in complicated geometries

On an integration rule for products of barycentric coordinates over simplexes in Rⁿ

In finite-element computations, one often needs to calculate integrals of products of powers of monomials over simplexes. In this manuscript, we prove a generalisation of the exact integration formula that was reported and proved for two-dimensional simplexes by Holand & Bell in 1969. We extend the proof to n-dimensional simplexes and to...