This paper details the development and implementation of a density-based solution approach for simulation and design in variable density incompressible flows with heat transfer. In the low-Mach approximation of the Navier–Stokes equations, density can vary as a function of transported scalars, and in this case, density varies with temperature from a coupled energy equation. These governing equations are spatially discretized using a finite volume method on unstructured grids and solved in a coupled manner with a generalized artificial compressibility method. Complete details of the numerical implementation are provided, and it has been algorithmically differentiated to construct a discrete adjoint for efficient sensitivity analysis. Results demonstrating the primal solver on a set of standard verification and validation cases and adjoint-based shape optimization are presented.


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    Title :

    Simulation and Adjoint-Based Design for Variable Density Incompressible Flows with Heat Transfer


    Contributors:

    Published in:

    AIAA Journal ; 58 , 2 ; 757-769


    Publication date :

    2020-02-01




    Type of media :

    Conference paper , Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English






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