Discrete Adjoint Formulation for Turbulent Flow Problems with Transition Modelling on Unstructured Meshes

2019 ◽  
Author(s):  
Zhi Yang ◽  
Dimitri J. Mavriplis
Keyword(s):  
Turbulent Flow ◽  
Unstructured Meshes ◽  
Flow Problems ◽  
Discrete Adjoint ◽  
Adjoint Formulation ◽  
Transition Modelling

High Order Schemes on Three-Dimensional General Polyhedral Meshes — Application to the Level Set Method

2012 ◽  
Vol 12 (1) ◽  
pp. 1-41 ◽  
Author(s):  
Thibault Pringuey ◽  
R. Stewart Cant
Keyword(s):  
Level Set ◽  
Three Dimensional ◽  
Unstructured Meshes ◽  
High Order ◽  
Convex Polyhedra ◽  
Two Phase ◽  
High Order Schemes ◽  
Flow Problems ◽  
Mixed Element ◽  
Areas Of Interest

AbstractIn this article, we detail the methodology developed to construct arbitrarily high order schemes — linear and WENO — on 3D mixed-element unstructured meshes made up of general convex polyhedral elements. The approach is tailored specifically for the solution of scalar level set equations for application to incompressible two-phase flow problems. The construction of WENO schemes on 3D unstructured meshes is notoriously difficult, as it involves a much higher level of complexity than 2D approaches. This due to the multiplicity of geometrical considerations introduced by the extra dimension, especially on mixed-element meshes. Therefore, we have specifically developed a number of algorithms to handle mixed-element meshes composed of convex polyhedra with convex polygonal faces. The contribution of this work concerns several areas of interest: the formulation of an improved methodology in 3D, the minimisation of computational runtime in the implementation through the maximum use of pre-processing operations, the generation of novel methods to handle complex 3D mixed-element meshes and finally the application of the method to the transport of a scalar level set.

Hierarchical elements for the iterative solving of turbulent flow problems on anisotropic meshes

2012 ◽  
Vol 21 (1-2) ◽  
pp. 22-39
Author(s):  
B.A. Wane ◽  
J.M. Urquiza ◽  
A. Fortin ◽  
D. Pelletier
Keyword(s):  
Turbulent Flow ◽  
Flow Problems ◽  
Anisotropic Meshes

scholarly journals Convergence Analysis on Unstructured Meshes of a DDFV Method for Flow Problems with Full Neumann Boundary Conditions

2016 ◽  
Vol 2016 ◽  
pp. 1-22
Author(s):  
A. Kinfack Jeutsa ◽  
A. Njifenjou ◽  
J. Nganhou
Keyword(s):  
Boundary Conditions ◽  
Numerical Test ◽  
Neumann Boundary ◽  
Unstructured Meshes ◽  
Neumann Boundary Conditions ◽  
Discrete Problem ◽  
Discrete Energy ◽  
Flow Problems ◽  
Associated Matrix ◽  
Uniqueness Of A Solution

A Discrete Duality Finite Volume (DDFV) method to solve on unstructured meshes the flow problems in anisotropic nonhomogeneous porous media with full Neumann boundary conditions is proposed in the present work. We start with the derivation of the discrete problem. A result of existence and uniqueness of a solution for that problem is given thanks to the properties of its associated matrix combined with adequate assumptions on data. Their theoretical properties, namely, stability and error estimates (in discrete energy norms andL2-norm), are investigated. Numerical test is provided.

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