We extend our recent work on the cree** flow of a Bingham fluid in a lid-driven cavity, to
the study of inertial effects, using a finite volume method and the Papanastasiou …

In this work, local p-adaptation strategies for high order discontinuous Galerkin spectral
element methods are compared. The principal aim of the paper is to determine the …

In this paper three p-adaptation strategies based on the minimization of the truncation error
are presented for high order discontinuous Galerkin methods. The truncation error is …

This article focuses on the study of local truncation errors (LTEs) in the Network Simulation
Method (NSM), specifically when using the trapezoidal method and Gear's methods. The …

Mesh adaptation allows one to localise the numerical degrees of freedom in mesh regions
that require increased accuracy. This is particularly important in Computational Fluid …

Computational fluid dynamics is an invaluable tool for both the design and analysis of
aerospace vehicles. Reliable error estimation techniques are needed to ensure that …

Local grid refinement aims to optimise the relationship between accuracy of the results and
number of grid nodes. In the context of the finite volume method no single local refinement …

In this paper we show how to accurately estimate the local truncation error of the Chebyshev
spectral collocation method using τ-estimation. This method compares the residuals on a …

A numerical estimation of discretization error for steady compressible flow solutions is
performed using the error transport equation (ETE). There is a deficiency in the literature for …

A new goal-oriented mesh adaptation method for finite volume/finite difference schemes is
extended from the structured mesh framework to a more suitable setting for adaptation of …