A segregated method for compressible flow computation Part I: isothermal compressible flows

2004 ◽  
Vol 47 (4) ◽  
pp. 271-323 ◽  
Author(s):  
Guillermo Hauke ◽  
Aitor Landaberea ◽  
I�aki Garmendia ◽  
Javier Canales
Keyword(s):  
Compressible Flow ◽  
Compressible Flows ◽  
Flow Computation

A segregated method for compressible flow computation. Part II: general divariant compressible flows

2005 ◽  
Vol 49 (2) ◽  
pp. 183-209 ◽  
Author(s):  
Guillermo Hauke ◽  
Aitor Landaberea ◽  
Iñaki Garmendia ◽  
Javier Canales
Keyword(s):  
Compressible Flow ◽  
Compressible Flows ◽  
Flow Computation

Code Verification of a Pressure-Based Solver for Subsonic Compressible Flows

2020 ◽  
Vol 5 (4) ◽  
Author(s):  
João Muralha ◽  
Luís Eça ◽  
Christiaan M. Klaij
Keyword(s):  
Compressible Flow ◽  
Incompressible Flow ◽  
Compressible Flows ◽  
Simple Algorithm ◽  
Code Verification ◽  
Weighted Interpolation ◽  
Number Range ◽  
Flow Solver ◽  
Manufactured Solutions ◽  
Method Of Manufactured Solutions

Abstract Although most flows in maritime applications can be modeled as incompressible, for certain phenomena like sloshing, slamming, and cavitation, this approximation falls short. For these events, it is necessary to consider compressibility effects. This paper presents the first step toward a solver for multiphase compressible flows: a single-phase compressible flow solver for perfect gases. The main purpose of this work is code verification of the solver using the method of manufactured solutions. For the sake of completeness, the governing equations are described in detail including the changes to the SIMPLE algorithm used in the incompressible flow solver to ensure mass conservation and pressure–velocity–density coupling. A manufactured solution for laminar subsonic flow was therefore designed. With properly defined boundary conditions, the observed order of grid convergence matches the formal order, so it can be concluded that the flow solver is free of coding mistakes, to the extent tested by the method of manufactured solutions. The performance of the pressure-based SIMPLE solver is quantified by reporting iteration counts for all grids. Furthermore, the use of pressure–weighted interpolation (PWI), also known as Rhie–Chow interpolation, to avoid spurious pressure oscillations in incompressible flow, though not strictly necessary for compressible flow, does show some benefits in the low Mach number range.

The practical use of the Rayleigh-Ritz method in compressible flow

1971 ◽  
Vol 4 (1) ◽  
pp. 85-95 ◽  
Author(s):  
P. E. Lush ◽  
J. W. Stephenson
Keyword(s):  
Compressible Flow ◽  
Compressible Flows ◽  
Velocity Potential ◽  
Ritz Method ◽  
Practical Procedure

We show(i) that the Rayleigh-Ritz method is a practical procedure for obtaining approximations to the velocity potential for compressible flows, and(ii) how to calculate an estimate of the error in such approximations.

An accurate shock-capturing scheme based on rotated-hybrid Riemann solver

2016 ◽  
Vol 26 (5) ◽  
pp. 1310-1327 ◽  
Author(s):  
Ghislain Tchuen ◽  
Pascalin Tiam Kapen ◽  
Yves Burtschell
Keyword(s):  
Compressible Flow ◽  
Finite Volume ◽  
Compressible Flows ◽  
Navier Stokes ◽  
Shock Propagation ◽  
Riemann Solver ◽  
Simple Task ◽  
Content Type ◽  
Flow Problems ◽  
Roe Solver

Purpose – The purpose of this paper is to present a new hybrid Euler flux fonction for use in a finite-volume Euler/Navier-Stokes code and adapted to compressible flow problems. Design/methodology/approach – The proposed scheme, called AUFSRR can be devised by combining the AUFS solver and the Roe solver, based on a rotated Riemann solver approach (Sun and Takayama, 2003; Ren, 2003). The upwind direction is determined by the velocity-difference vector and idea is to apply the AUFS solver in the direction normal to shocks to suppress carbuncle and the Roe solver across shear layers to avoid an excessive amount of dissipation. The resulting flux functions can be implemented in a very simple manner, in the form of the Roe solver with modified wave speeds, so that converting an existing AUFS flux code into the new fluxes is an extremely simple task. Findings – The proposed flux functions require about 18 per cent more CPU time than the Roe flux. Accuracy, efficiency and other essential features of AUFSRR scheme are evaluated by analyzing shock propagation behaviours for both the steady and unsteady compressible flows. This is demonstrated by several test cases (1D and 2D) with standard finite-volume Euler code, by comparing results with existing methods. Practical implications – The hybrid Euler flux function is used in a finite-volume Euler/Navier-Stokes code and adapted to compressible flow problems. Originality/value – The AUFSRR scheme is devised by combining the AUFS solver and the Roe solver, based on a rotated Riemann solver approach.

Construction of Modified Taylor-Galerkin Finite Elements and its application in compressible flow computation

1996 ◽  
Vol 17 (4) ◽  
pp. 333-339
Author(s):  
Zhu Gang ◽  
Shen Mengyu ◽  
Liu Qiusheng ◽  
Wang Baoguo
Keyword(s):  
Finite Elements ◽  
Compressible Flow ◽  
Flow Computation
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