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Showing 1 to 7 of 7 for “"discrete-adjoint method"”.
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Applications of the Discrete Adjoint Method in Computational Fluid Dynamics
The discrete adjoint method allows efficient evaluation of the derivative of a function I(s) with respect to parameters s in situations where I depends on s indirectly, via an intermediate variable w(s), which is computationally expensive to evaluate. In this thesis two applications of this method …
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Development of S3D and Adjoint Design Methods for Efficient Aerodynamic Design of Three-Dimensional High-Speed Compressor Blades
In the second part of the study, an adjoint design method was employed for compressor design to broaden the range of design capability, to facilitate 3D design applications, and to complement the S3D design method. An adjoint design code was developed, based on a 3D compressor flow analysis code, …
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Aerodynamic Design Sensitivities on an Unstructured Mesh Using the Navier-Stokes Equations and a Discrete Adjoint Formulation
A discrete adjoint method is developed and demonstrated for aerodynamic design optimization on unstructured grids. The governing equations are the three-dimensional Reynolds-averaged Navier-Stokes equations coupled with a one-equation turbulence model. A discussion of the numerical implementation …
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Adjoint-based space-time adaptive solution algorithms for sensitivity analysis and inverse problems
… mesh refinement, adaptive time steps, and the discrete adjoint method. This dissertation develops a complete framework for fully discrete adjoint sensitivity analysis and inverse problem solutions, in the context of time dependent, adaptive mesh, and adaptive step models. The discrete framework …
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Computational design for electromagnetic simulations
… field simulation tool, an original adjoint routine for obtaining sensitivity derivatives, and an original grid-smoothing tool with an existing optimization package. The electromagnetic field simulation software employs a temporally and spatially higher-order accurate Streamline …
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Design, Analysis, and Application of Immersed Finite Element Methods
… three studies of immersed finite element (IFE) methods for inter- face problems related to partial differential equations (PDEs) with discontinuous coefficients. These three topics together form a continuation of the research in IFE method including the extension to elasticity systems, new …
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An exact and consistent adjoint method for high-fidelity discretization of the compressible flow equations
Methods and computing hardware advances have enabled accurate predictions of complex compressible turbulence phenomena, such as the generation of jet noise that motivates the present effort. However, limited understanding of underlying physical mechanisms restricts the utility of such predictions …