Publication | Closed Access
Applied Shape Optimization for Fluids
624
Citations
0
References
2009
Year
Numerical AnalysisNumerical Method For Partial Differential EquationEngineeringFluid-structure InteractionFluid MechanicsMechanical EngineeringIntroduction 1Applied Shape OptimizationShape OptimizationComputer-aided DesignShape Optimization 8Structural OptimizationMultiphase FlowComputational MechanicsTopology Optimization
The paper reviews key mathematical and computational foundations for fluid shape optimization, including PDE modeling, numerical methods, automatic differentiation, and consistent approximation techniques. Numerical results demonstrate the effectiveness of the shape optimization framework for both steady and unsteady fluid flows. The manuscript is structured with an introduction and a section on optimal shape design.
Introduction 1. Optimal Shape Design 2. Partial Differential Equations for Fluids 3. Some Numerical Methods for Fluids and Examples 4. Automatic Differentiation 5. Optimization Platform and Implementation Issues 6. Consistent Approximations and Approximate Gradients 7. Numerical Results on Shape Optimization 8. Numerical Results on Shape Optimization for Unsteady Flows Index