Discontinuous Solutions Using the Method of Manufactured Solutions on Finite Volume Solvers

AIAA Journal ◽  
2015 ◽  
Vol 53 (8) ◽  
pp. 2369-2378 ◽  
Author(s):  
Benjamin Grier ◽  
Richard Figliola ◽  
Edward Alyanak ◽  
José Camberos
Keyword(s):  
Finite Volume ◽  
Discontinuous Solutions ◽  
Manufactured Solutions ◽  
Method Of Manufactured Solutions

scholarly journals Application of the method of manufactured solutions to the verification of a pressure-based finite-volume numerical scheme

2011 ◽  
Vol 51 (1) ◽  
pp. 85-99 ◽  
Author(s):  
João Marcelo Vedovoto ◽  
Aristeu da Silveira Neto ◽  
Arnaud Mura ◽  
Luis Fernando Figueira da Silva
Keyword(s):  
Finite Volume ◽  
Numerical Scheme ◽  
Manufactured Solutions ◽  
Method Of Manufactured Solutions

Finite Volume Particle Method for Incompressible Flows

2014 ◽  
Vol 656 ◽  
pp. 72-80
Author(s):  
Sterian Danaila ◽  
Delia Teleaga ◽  
Luiza Zavalan
Keyword(s):  
Finite Volume ◽  
Meshless Method ◽  
Incompressible Flows ◽  
Particle Method ◽  
Finite Volume Methods ◽  
Particle Methods ◽  
Navier Stokes ◽  
Ansys Fluent ◽  
Manufactured Solutions ◽  
Method Of Manufactured Solutions

This paper presents an application of the Finite Volume Particle Method to incompressible flows. The two-dimensional incompressible Navier-Stokes solver is based on Chorin’s projection method with finite volume particle discretization. The Finite Volume Particle Method is a meshless method for fluid dynamics which unifies advantages of particle methods and finite volume methods in one scheme. The method of manufactured solutions is used to examine the global discretization error and finally a comparison between finite volume particle method simulations of an incompressible flow around a fixed circular cylinder and the numerical simulations with the CFD code ANSYS FLUENT 14.0 is presented.

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.

scholarly journals Verification of BOUT++ by the method of manufactured solutions

2016 ◽  
Vol 23 (6) ◽  
pp. 062303 ◽  
Author(s):  
B. D. Dudson ◽  
J. Madsen ◽  
J. Omotani ◽  
P. Hill ◽  
L. Easy ◽  
...  
Keyword(s):  
Manufactured Solutions ◽  
Method Of Manufactured Solutions
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