4.6 Article

Immersogeometric analysis of compressible flows with application to aerodynamic simulation of rotorcraft

Journal

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 29, Issue 5, Pages 905-938

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202519410033

Keywords

Compressible flows; immersogeometric analysis; weakly enforced boundary conditions; non-symmetric Nitsche method; B-rep; rotorcraft

Funding

  1. ARO [W911NF-14-1-0296]
  2. NAVAIR

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We present an immersogeometric analysis (IMGA) approach for the simulation of compressible flows around complex geometries. In this method, compressible flow simulations are performed directly on various boundary representations (B-reps) of mechanical designs, circumventing the labor-intensive and time-consuming cleanup of complex geometric models. A new formulation for the weak imposition of essential boundary conditions in the context of non-body-fitted meshes is proposed. The formulation employs the non-symmetric Nitsche method, which yields good performance especially when the penalty parameters are difficult to estimate. We test the proposed immersogeometric formulation on benchmark problems for a wide range of Reynolds and Mach numbers, showing its robustness and accuracy. Finally, the methodology is applied to the simulation of a UH-60 Black Hawk helicopter in forward flight, illustrating the ability of the proposed approach to support the design of real-world engineering systems through high-fidelity aerodynamic analysis.

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