A non-oscillatory face-centred finite volume method for compressible flows

11/27/2020
by   Jordi Vila-Pérez, et al.
0

This work presents the face-centred finite volume (FCFV) paradigm for the simulation of compressible flows. The FCFV method defines the unknowns at the face barycentre and uses a hybridisation procedure to eliminate all the degrees of freedom inside the cells. In addition, Riemann solvers are defined implicitly within the expressions of the numerical fluxes. The resulting methodology provides first-order accurate approximations of the conservative quantities, i.e. density, momentum and energy, as well as of the viscous stress tensor and of the heat flux, without the need of any gradient reconstruction procedure. Hence, the FCFV solver preserves the accuracy of the approximation in presence of distorted and highly stretched cells, providing a solver insensitive to mesh quality. In addition, FCFV is a monotonicity-preserving scheme, leading to non-oscillatory approximations of sharp discontinuities without resorting to shock capturing or limiting techniques. For flows at low Mach number, the method is robust and is capable of computing accurate solutions in the incompressible limit without the need of introducing specific pressure correction strategies. A set of 2D and 3D benchmarks of external flows is presented to validate the methodology in different flow regimes, from inviscid to viscous laminar flows, from transonic to subsonic incompressible flows, demonstrating its potential to handle compressible flows in realistic scenarios.

READ FULL TEXT

page 12

page 16

page 18

page 19

page 21

page 22

page 25

page 26

research
08/04/2022

Benchmarking the face-centred finite volume method for compressible laminar flows

Purpose: This study aims to assess the robustness and accuracy of the fa...
research
11/29/2019

An HLL Riemann solver for the hybridised discontinuous Galerkin formulation of compressible flows

This work proposes a high-order hybridised discontinuous Galerkin (HDG) ...
research
01/05/2023

A MUSCL-like finite volumes approximation of the momentum convection operator for low-order nonconforming face-centred discretizations

We propose in this paper a discretization of the momentum convection ope...
research
10/11/2021

Two-stage Fourth-order Gas Kinetic Solver-based Compact Subcell Finite Volume Method for Compressible Flows over Triangular Meshes

To meet the demand for complex geometries and high resolutions of small-...
research
05/31/2021

A simple numerical method for Hele-Shaw type problems by the method of fundamental solutions

Hele-Shaw flows with time-dependent gaps create fingering patterns, and ...
research
06/15/2022

A hybrid meshing framework adapted to the topography to simulate Atmospheric Boundary Layer flows

A new topography adapted mesh generation process tailored to simulate At...
research
09/11/2023

Assessment of Large Eddy Simulation (LES) Sub-grid Scale Models Accounting for Compressible Homogeneous Isotropic Turbulence

Most sub-grid scale (SGS) models employed in LES (large eddy simulation)...

Please sign up or login with your details

Forgot password? Click here to reset