Comparison of Wide and Compact Fourth Order Formulations of the Navier-Stokes Equations

TL;DR

This paper compares the numerical performance of wide and compact fourth order formulations for solving the steady 2-D incompressible Navier-Stokes equations using the cavity flow benchmark.

Contribution

It provides a detailed comparison of two fourth order formulations, highlighting their advantages and disadvantages in solving Navier-Stokes equations.

Findings

Wide and compact formulations show different accuracy and efficiency levels.

The study identifies specific advantages of each formulation.

Results are validated using the benchmark cavity flow problem.

Abstract

In this study the numerical performances of wide and compact fourth order formulation of the steady 2-D incompressible Navier-Stokes equations will be investigated and compared with each other. The benchmark driven cavity flow problem will be solved using both wide and compact fourth order formulations and the numerical performances of both formulations will be presented and also the advantages and disadvantages of both formulations will be discussed.