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Showing 1 to 4 of 4 for “"Shape Derivatives"”.
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Continuum Sensitivity Analysis using Boundary Velocity Formulation for Shape Derivatives
… (aeroelastic) response with respect to shape design parameters. One of the novelties of this work is the derivation of local CSA with SGR for obtaining flow derivatives using finite volume formulation and its nonintrusive implementation (i.e. without accessing the analysis source code). …
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Shape optimization for thermoacoustic instability with an adjoint Helmholtz solver
… SLEPc. We then derive the formulae for the shape derivatives of the eigenvalues of the Helmholtz equation in Hadamard form for different boundary conditions and in the cases of simple and semi-simple degenerate eigenvalues. These formulae allow us to efficiently calculate the effect of …
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On a Class of Parametrized Domain Optimization Problems with Mixed Boundary Condition Types
… and the calculation of the derivative of the shape functional. Shape optimization problems have a long history of mathematical study and a wide range of applications. In recent decades there has been an interest in solving these problems with partial differential equation (PDE) constraints. We …
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Shape Optimization of Annular Combustors with an Open Source Parallelized Thermoacoustic Helmholtz Solver
… and tested. We use helmholtz-x to perform shape optimization of thermoacoustic systems. We first propose a surface parametrization technique, NURBS, to study shape sensitivities of a 30kW laboratory-scale annular combustor (MICCA from EM2C). We parametrize the surfaces of the …