FVCA8 benchmark for the stokes and navier–stokes equations with the trioCFD code—Benchmark session

Abstract

This paper is devoted to the study of convergence orders of several numerical methods that are implemented in the TrioCFD code dedicated to the simulation of turbulent flows and heat transfer in nuclear engineering applications. The spatial discretization is based on Finite Difference-Volume or Finite Element-Volume methods. A projection method is applied to update the velocity and the pressure. The time scheme can be either explicit or implicit, and hexahedral or tetrahedral meshes can be used for simulations. In this paper, the test cases are relative to steady Stokes problems, steady and unsteady Navier–Stokes problems, and finally the well-known lid-driven cavity flow case. The latter proposes several comparisons between our simulations and numerical data already published in the literature, while the other cases yield the values of convergence orders by using the analytical solutions. The accuracy of the results obtained with TrioCFD differs according to the types of mesh used for simulations, the viscosity values or the source terms in the equations.