Automatic Differentiation Adjoint of the Reynolds-Averaged Navier-Stokes Equations with a Turbulence Model

By Zhoujie Lyu, Gaetan K. W. Kenway, Cody Paige, Joaquim R. Martins. 2013

135 citations recorded by the source corpus.

Subfields: Computational Mechanics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3f084c72fae849a74bc671f2e366aa880e7e3295

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In Computational Mechanics

In Statistical and Nonlinear Physics

Citations in the corpus

Aerodynamic shape optimization for minimum robust drag and lift reliability constraint (2016, methodology): “The modeling using the Euler equations is for demonstration purposes, since the inviscid model does not always yield physically significant results [26].”
Multipoint Aerodynamic Shape Optimization Investigations of the Common Research Model Wing (2015, methodology): “These results were obtained using the aerodynamic shape optimization framework that was previously developed [7,8], which uses gradient-based optimization togetherwith a discrete adjoint to compute the gradients efficiently.”
Effective adjoint approaches for computational fluid dynamics (2019, methodology): “These techniques make it possible to generate numerically exact derivatives, even through complex routines such as the various turbulence models used in RANS analysis [7, 55].”
Buffet-Onset Constraint Formulation for Aerodynamic Shape Optimization (2017, background): “[51] describe the CFD adjoint implementation in more detail.”
A Python surrogate modeling framework with derivatives (2019, methodology): “We use the GE-KPLS model, where we provide training derivatives using an adjoint approach [24,25].”
RANS-based aerodynamic shape optimization investigations of the common research modelwing (2014, methodology): “In this paper, we present the results of the most complex benchmark problem among the four test cases: the lift-constrained drag minimization of the Common Research Model (CRM) wing with flow governed by the Reynolds-Averaged Navier–Stokes equations (RANS) [2].”
OpenMDAO: an open-source framework for multidisciplinary design, analysis, and optimization (2019, methodology): “The aerodynamics were modeled using the ADﬂow CFD solver [64], which has an adjoint implementation to efﬁciently compute derivatives of the aero-dynamic force coefﬁcients with respect to hundreds of wing shape variables.”