Verification and validation (V&V) are the primary means to assess accuracy and reliability in
computational simulations. This paper presents an extensive review of the literature in V&V …

In this review we discuss bifurcation theory in a Banach space setting using the singularity
theory developed by Golubitsky and Schaeffer to classify bifurcation points. The numerical …

Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

This book describes why and how to do Scientific Computing for fundamental models of fluid
flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely …

Turbulent flow over a backward-facing step is studied by direct numerical solution of the
Navier–Stokes equations. The simulation was conducted at a Reynolds number of 5100 …

Ongoing developments in cardiac modelling have resulted, in particular, in the development
of advanced and increasingly complex computational frameworks for simulating cardiac …

A high resolution scheme with improved iterative convergence properties was devised by
incorporating total‐variation diminishing constraints, appropriate for unsteady problems, into …

Data-driven methods for improving turbulence modeling in Reynolds-Averaged Navier–
Stokes (RANS) simulations have gained significant interest in the computational fluid …

Results are reported from a three-dimensional computational stability analysis of flow over a
backward-facing step with an expansion ratio (outlet to inlet height) of 2 at Reynolds …

An approximate projection scheme based on the pressure correction method is proposed to
solve the Navier–Stokes equations for incompressible flow. The algorithm is applied to the …