Discrete direct and adjoint sensitivity analysis for arbitrary Mach number flows

✍ Scribed by R. Balasubramanian; J. C. Newman III

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 392 KB
• Volume: 66
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1558

✦ Synopsis

Parallel discrete direct and adjoint sensitivity analysis capabilities are developed for arbitrary Mach flows on mixed-element unstructured grids. The discrete direct and adjoint methods need a consistent and complete linearization of the flow-solver to obtain accurate derivatives. The discontinuous nature of the commonly used unstructured flux-limiters, like Barth-Jespersen and Venkatakrishnan, make them unsuitable for sensitivity analysis. A modification is proposed to make these limiters piecewise continuous and numerically differentiable, without compromising the monotonicity conditions. An improved version of Symmetric Gauss-Seidel that significantly reduces the computational cost is implemented. A distributed-memory message passing model is employed for the parallelization of sensitivity analysis solver. These algorithms are implemented within a three-dimensional unstructured grid framework and results are presented for inviscid, laminar and turbulent flows.