Supersonic Wing and Wing-body Shape Optimization Using an Adjoint Formulation


Book Description

Abstract: "This paper describes the implementation of optimization techniques based on control theory for wing and wing-body design of supersonic configurations. The work represents an extension of our earlier research in which control theory is used to devise a design procedure that significantly reduces the computational cost by employing an adjoint equation. In previous studies it was shown that control theory could be used to devise transonic design methods for air-foils and wings in which the shape and the surrounding body-fitted mesh are both generated analytically, and the control is the mapping function [5, 6, 8]. The method has also been implemented for both transonic potential flows and transonic flows governed by the Euler equations using an alternative formulation which employs numerically generated grids, so that it can treat more general configurations [16, 9, 17]. Here results are presented for three-dimensional design cases subject to supersonic flows governed by the Euler equation."




Aerodynamic Shape Optimization of Supersonic Aircraft Configurations Via an Adjoint Formulation on Parallel Computers


Book Description

Abstract: "This work describes the application of a control theory-based aerodynamic shape optimization method to the problem of supersonic aircraft design. The design process is greatly accelerated through the use of both control theory and a parallel implementation on distributed memory computers. Control theory is employed to derive the adjoint differential equations whose solution allows for the evaluation of design gradient information at a fraction of the computational cost required by previous design methods [13, 12, 44, 38]. The resulting problem is then implemented on parallel distributed memory architectures using a domain decomposition approach, an optimized communication schedule, and the MPI (Message Passing Interface) Standard for portability and efficiency. The final result achieves very rapid aerodynamic design based on higher order computational fluid dynamics methods (CFD). In our earlier studies, the serial implementation of this design method [19, 20, 21, 23, 39, 25, 40, 41, 42, 43, 9] was shown to be effective for the optimization of airfoils, wings, wing-bodies, and complex aircraft configurations using both the potential equation and the Euler equations [39, 25]. In our most recent paper, the Euler method was extended to treat complete aircraft configurations via a new multiblock implementation. Furthermore, during the same conference, we also presented preliminary results demonstrating that this basic methodology could be ported to distributed memory parallel computing architectures [24]. In this paper, our concern will be to demonstrate that the combined power of these new technologies can be used routinely in an industrial design environment by applying it to the case study of the design of typical supersonic transport configurations. A particular difficulty of this test case is posed by the propulsion/airframe integration."




Computational Fluid Dynamics for the 21st Century


Book Description

This volume contains new trends of computational fluid dynamics for the 21st century and consists of papers especially useful to the younger generation of scientists and engineers in this field. Topics include cartesian, gridless and higher-order schemes, and flow-visualization techniques.




Aerodynamic Shape Optimization Using Control Theory


Book Description

Abstract: "Aerodynamic shape design has long persisted as a difficult scientific challenge due [sic] its highly nonlinear flow physics and daunting geometric complexity. However, with the emergence of Computational Fluid Dynamics (CFD) it has become possible to make accurate predictions of flows which are not dominated by viscous effects. It is thus worthwhile to explore the extension of CFD methods for flow analysis to the treatment of aerodynamic shape design. Two new aerodynamic shape design methods are developed which combine existing CFD technology, optimal control theory, and numerical optimization techniques. Flow analysis methods for the potential flow equation and the Euler equations form the basis of the two respective design methods. In each case, optimal control theory is used to derive the adjoint differential equations, the solution of which provides the necessary gradient information to a numerical optimization method much more efficiently then [sic] by conventional finite differencing. Each technique uses a quasi-Newton numerical optimization algorithm to drive an aerodynamic objective function toward a minimum. An analytic grid perturbation method is developed to modify body fitted meshes to accommodate shape changes during the design process. Both Hicks-Henne perturbation functions and B-spline control points are explored as suitable design variables. The new methods prove to be computationally efficient and robust, and can be used for practical airfoil design including geometric and aerodynamic constraints. Objective functions are chosen to allow both inverse design to a target pressure distribution and wave drag minimization. Several design cases are presented for each method illustrating its practicality and efficiency. These include non-lifting and lifting airfoils operating at both subsonic and transonic conditions."




CFD for Design and Optimization


Book Description

Presents papers from the November 1995 congress demonstrating the utilization of CFD in a design environment. Topics include pre- and post-optimization sensitivity analyses; discrete and variational sensitivity methods; stochastic and genetic algorithms; shape optimization; inverse methods; trade-of




IUTAM Symposium Transsonicum IV


Book Description

"Symposium Transsonicum" was founded by Klaus Oswatitsch four decades ago when there was clearly a need for a systematic treatment of flow problems in the higher speed regime in aeronautics. The first conference in 1962 brought together scientists concerned with fundamental problems involving the sonic flow speed regime. Results of the conference provided an understanding of some basic tran sonic phenomena by proposing mathematical methods that allowed for the de velopment of practical calculations. The "Transonic Controversy" (about shock free flows) was still an open issue after this meeting. In 1975 the second symposium was held, by then there was much understanding in how to avoid shocks in a steady plane flow to be designed, but still very little was known in unsteady phenomena due to a lack of elucidating experiments. A third meeting in 1988 reflected the availability oflarger computers which allowed the numerical analysis of flows with shocks to a reasonable accuracy. Because we are trying to keep Oswatitsch's heritage in science alive especially in Gottingen, we were asked by the aerospace research community to organize another symposium. Much had been achieved already in the knowledge, techno logy and applications in transonics, so IUT AM had to be convinced that a fourth meeting would not just be a reunion of old friends reminiscing some scientific past. The scientific committee greatly supported my efforts to invite scientists ac tively working in transonic problems which still pose substantial difficulties to ae rospace and turbomachinery industry.




Journal of Aircraft


Book Description




La Modélisation multidimensionnelle des écoulements dans les moteurs


Book Description

With an increasingly challenging commercial environment, and the need imposed by safety principles to reduce both fuel consumption and pollutant emissions, the development of new engines can now benefit from the advances of computational fluid dynamics. Engine CFD is a most challenging simulation problem. This is caused by the spread of time and space scales, the excursion amplitude of most parameters, the high quasi-cyclic unstationarity of engine flows, the importance of minor geometry details, the number of physical and chemical processes including turbulent combustion and multi-phase flows to model. However, engine CFD has now reached a state where it has become a widely used tool, not only for engine understanding, but also increasingly for engine design. Undoubtedly, laser diagnostics in optical access engines have also brought significant help.Contents: 1. State of the art of multi-dimensional modeling of engine reacting flows. 2. Simulation of the intake and compression strokes of a motored 4-valve SI engine with a finite element code. 3. A parallel, unstructured-mesh methodology for device-scale combustion calculations. 4. Large-eddy simulation of in-cylinder flows. 5. Simulation of engine internal flows using digital physics. 6. Automatic block decomposition of parametrically changing volumes. 7. Developments in spray modeling in diesel and direct-injection gasoline engines. 8. Cyto-fluid dynamic theory of atomization processes. 9. Influence of the wall temperature on the mixture preparation in DI gasoline engines. 10. Simulation of cavitating flows in diesel injectors. 11. Recent developments in simulations of internal flows in high pressure swirl injectors. 12. 3D simulation of DI diesel combustion and pollutant formation using a two-component reference fuel. 13. Modeling of NOx and soot formation in diesel combustion. 14. Multi-dimensional modeling of combustion and pollutants formation of new technology light duty diesel engines. 15. 3D modeling of combustion for DI-SI engines. 16. Combustion modeling with the G-equation. 17. Multi-dimensional modeling of the aerodynamic and combustion in diesel engines. 18. CFD aided development of a SI-DI engine. 19. CFD engine applications at FIAT research centre. 20. Application of a detailed emission model for heavy duty diesel engine simulations. 21. CFD based shape optimization of IC engine.







Engineering Design Optimization


Book Description

Based on course-tested material, this rigorous yet accessible graduate textbook covers both fundamental and advanced optimization theory and algorithms. It covers a wide range of numerical methods and topics, including both gradient-based and gradient-free algorithms, multidisciplinary design optimization, and uncertainty, with instruction on how to determine which algorithm should be used for a given application. It also provides an overview of models and how to prepare them for use with numerical optimization, including derivative computation. Over 400 high-quality visualizations and numerous examples facilitate understanding of the theory, and practical tips address common issues encountered in practical engineering design optimization and how to address them. Numerous end-of-chapter homework problems, progressing in difficulty, help put knowledge into practice. Accompanied online by a solutions manual for instructors and source code for problems, this is ideal for a one- or two-semester graduate course on optimization in aerospace, civil, mechanical, electrical, and chemical engineering departments.