Pseudo-time method for optimal shape design using the Euler equations



Publisher: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Publisher: National Technical Information Service, distributor in Hampton, VA, [Springfield, Va

Written in English
Published: Downloads: 207
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Subjects:

  • Aerodynamic configurations.,
  • Algorithms.,
  • Compressible flow.,
  • Computational fluid dynamics.,
  • Computer aided design.,
  • Euler equations of motion.

Edition Notes

Other titlesPseudo time method for optimal shape design using the Euler equations.
StatementAngelo Iollo, Geojoe Kuruvila, Shlomo Ta"asan.
SeriesICASE report -- no. 95-59., NASA contractor report -- 198205., NASA contractor report -- NASA CR-198205.
ContributionsKuruvila, Geojoe., Ta"asan, Shlomo., Institute for Computer Applications in Science and Engineering.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL18088570M

Full text of "Aeronautical engineering: A continuing bibliography with indexes (supplement )" See other formats. Robust Controller Design Using the Structured Singular Value. "; Optimal Linear Controller Design for Periodic Inputs proposes a general design methodology for linear controllers facing periodic inputs which applies to all feedforward control, estimated disturbance . Journal of Aerospace Technology and Management JOURNAL OF. AEROSPACE TECHNOLOGY AND MANAGEMENT Vol. 6 N. 4 Oct./Dec. ISSN ISSN (online). This thesis focuses on the study of natural gas combustion under engine relevant conditions. The work begins with the development of a detailed chemical kinetic mechanism that represents the ignition characteristics of methane with various minor additives over a wider range of operating conditions than previously existing mechanisms. The mechanism includes a NOx submechanism selected from the Cited by: 9.

Historically grounded in the Theories of Mathematics Education (TME group) revived by the book editors at the 29th Annual PME meeting in Melbourne and using the unique style of preface-chapter-commentary, this volume consist of contributions from leading thinkers in mathematics education who have worked on theory building. This book is. Denition (DNS) DNS stands for for the numerical procedure direct numerical simulation. This corresponds to solving the NavierStokes equations on a digital computer using sucient resolution to capture all physically important scales from the largest to the dissipation scales. Adaptive Finite Element. Solution Algorithm for the Euler Equations by Richard A. Shapiro. Notes on Numerical Fluid Mechanics (NNFM) Series Editors: Ernst Heinrich Hirschel, Miinchen Kozo Fujii, Tokyo Bram van Leer, Ann Arbor Keith William Morton, Oxford Maurizio Pandolfi, Torino Arthur Rizzi, Stockholm Bernard Roux, Marseille. Volume 32 (Adresses of the Editors: see last page). Also, in many cases the type of equations change with the change in physical nature of the problem at different parts of the computational domain, i.e., in some part they are S.B. Hazra: Large-Scale PDE-Constrained Optimization in Applications, LN pp. 1–4. c .

Incrementally, this may be written in an explicit form by using an Euler method as an Kÿ1 Tn f0 This direct integration is illustrated in Fig. and can frequently be divergent as well as being only conditionally stable as a result of the Euler explicit method used. Design using the Euler Equations The application of control theory to aerodynamic design problems is illustrated in this section for the case of three-dimensional wing design using the compressible Euler equations as the mathematical model. The extension of the method to treat the Navier-Stokes equations is presented in references [19, 17, If the problem at hand is nonstationary, then semi-discrete equations of the form () must be integrated in time using a suitable numerical method. To this end, the time interval (0, T) is discretized in much the same way as the spatial domain for one-dimensional problems.   Pseudo-time algorithms for the Navier-Stokes equations. NASA Technical Reports Server (NTRS) Swanson, R. C.; Turkel, E. A pseudo-time method is introduced to integrate the compressible Navier-Stokes equations to a steady state. This method is a generalization of a method used by Crocco and also by Allen and Cheng.

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Get this from a library. Pseudo-time method for optimal shape design using the Euler equations. [Angelo Iollo; Geojoe Kuruvila; Shlomo Ta'asan; Institute for Computer Applications in Science and Engineering.].

Iollo, M.D. Salas, and S. Ta'asan. Shape optimization governed by the Euler equations using an adjoint method. Technical ReportICASE, Proceedings 14 th ICNMFD. Lecture notes in PhysicsSpringer Verlag. Google ScholarCited by: 1. In all the applications of pseudo-time-stepping method mentioned in Chapters 7- 11, the state equations have been the Euler equations.

In this chapter we extend the method to viscous compressible. In all the applications of pseudo-time-stepping method mentioned in Chapters 7- 11, the state equations have been the Euler equations.

In this chapter we extend the method to viscous compressible flow modeled by the Reynolds Averaged Navier- Stokes equations together with algebraic turbulence model of Baldwin and by: 8. In this paper we will restrict our attention to optimal shape design in 2D systems gov-erned by the Euler equations with discontinuities in the flow variables (an isolated normal shock wave).

() One-shot pseudo-time method for aerodynamic shape optimization using the Navier-Stokes equations. International Journal for Numerical Methods in Fluids() Solving Optimal Control Problem of Monodomain Model Using Hybrid Conjugate Gradient by: The paper deals with a numerical method for aerodynamic shape optimization using simultaneous pseudo-timestepping.

We have recently developed a method for the optimization problem in which stationary states are obtained by solving the pseudo-stationary system of equations representing state, costate, and design equations.

The method requires no additional globalization techniques in the Cited by: 9. M/~kinen and J. Toivanen, Optimal shape design for Helmholtz/potential flow problem using fictitious domain method, AIAA Paper CP, The 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Opti- mization,O.

Pironneau, Optimal shape design for elliptic systems, Springer-Verlag, Cited by: \(F \) is the key parameter in the discrete diffusion equation. Note that \(F \) is a dimensionless number that lumps the key physical parameter in the problem, \(\dfc \), and the discretization parameters \(\Delta x \) and \(\Delta t \) into a single parameter.

Properties of the numerical method are critically dependent upon the value of \(F \) (see the section Analysis of schemes for. illustrate the full computational procedure, the evaluation of an individual set of parameters requires four steps: 1.

the computation of the composition of the mixture in the primary and secondary inlet, knowing the specific design variables; 2. the simplified CFD simulation, i.e., the resolution of the governing coupled equations for the flow. The SD method was successfully extended to the Euler equations by Wang and Liu, and their collaborators, and to Navier–Stokes by May and Jameson, and Wang et al.

May and Jameson obtained high-order convergence for shock waves in 1D with Cited by: An explicit method for the 1D diffusion equation. Explicit finite difference methods for the wave equation \(u_{tt}=c^2u_{xx}\) can be used, with small modifications, for solving \(u_t = {\alpha} u_{xx}\) as well.

The exposition below assumes that the reader is familiar with the basic ideas of discretization and implementation of wave equations from the chapter Wave equations. This paper presents a finite volume method for the solution of the three dimensional, nonlinear ship wave problem.

The method can be used to obtain both Euler and Navier-Stokes solutions of the flow field and the a priori unknown free surface location by coupling the free surface kinematic and dynamic equations with the equations of motion for the bulk flow.

This book will be useful for scientists and engineers who are looking for efficient numerical methods for PDE-constrained optimization problems. It will be helpful for graduate and Ph.D.

students in applied mathematics, aerospace engineering, mechanical engineering, civil engineering and computational engineering during their training and research. Author / Title: Jonas Muüller, Christina Schenk, Rainer Keicher, Dominik Schmidt, Volker Schulz and Kai Velten: Optimization of an Externally Mixed Biogas Plant Using a Robust CFD Method., Computers and Electronics in Agriculture, (in print) G.

Heidel, V. Khoromskaia, B. Khoromskij and V. Schulz: Tensor approach to optimal control problems with fractional d-dimensional elliptic operator. Vermeire B, Loppi N, Vincent P,Optimal Runge-Kutta schemes for pseudo time-stepping with high-order unstructured methods, Journal of Computational Physics, Vol:Pages:ISSN: In this study we generate optimal Runge-Kutta (RK) schemes forconverging the Artificial Compressibility Method (ACM) using dualtime-stepping with high-order unstructured spatial discretizations.

The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field.

Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. Detailed analysis of the results reveals that pseudo-time steps adapt to element size/shape, solution state, and solution point location within each element.

Finally, results are presented for a turbulent 3D SD airfoil test case at Re=60,   Time-dependent solutions to the incompressible Navier-Stokes equations are formulated in the ALE (Arbitrary Lagrangian-Eulerian) manner using the finite volume method and are performed in a time-marching manner using the pseudo-compressibility method, with special treatment in the conservation of mass and momentum both in space and in by: It serves as a useful reference for all interested in computational modeling of partial differential equations pertinent primarily to aeronautical applications.

The reader will find five survey articles on cartesian mesh methods, on numerical studies of turbulent boundary layers, on efficient computation of compressible flows, on the use of. Full text of "Surface Modeling, Grid Generation, and Related Issues in Computational Fluid Dynamic (CFD) Solutions" See other formats.

Authors: S. Kaessmair: Chair of Applied Mechanics, University of Erlangen-Nuremberg, Paul-Gordan-Str. 3, Erlangen, Germany: P. Steinmann: Chair of Applied Cited by: 5. Intersection point A forward-Euler integration Sub-increments Correction or return to the yield surface Backward-Euler return 6 9 5 1 General method 6 9 5 2 Specific plane-stress method Consistent.

Kyle Anderson, Grid Generation and Flow Solution Method for Euler Equations on Unstructured Grids, NASA TM, Aprilpp. Ann Bare, David E. Reubush and Raymond C. Haddad, Flow Field Over the Wing of a Delta-Wing Fighter Model With Vortex Control Devices at Mach toNASA TM, Aprilpp.

The resulting scheme requires the solution of a system of nonlinear algebraic equations. Standard techniques for the solution of the system are Newton iteration and fixed-point iteration (Kelley, ).The method is sometimes called semi-implicit, because the function b is still evaluated at (t k, X k) instead of (t k+1, X k+1).However, a fully implicit Euler scheme for SDEs is not practicable Cited by: Full text of "Studying Turbulence Using Numerical Simulation Databases, 8.

Proceedings of the Summer Program" See other formats. The final expression of Euler's equations, using the harmonic equilibrium method, is reduced to: ∗ + ∗ + ∗=0 () Using the discrete matrix of the Fourier transformation, the flow can be resolved more easily. Moreover, the method can be used not only to solve the Euler equations, but also to find a.

A solution to the time‐dependent Schrödinger equation is required in a variety of problems in physics and chemistry. In this chapter, recent developments of numerical and theoretical techniques for quantum wave packet methods efficiently describe the dynamics of molecular dynamics, and electronic dynamics induced by ultrashort laser pulses in atoms and molecules will be reviewed Author: Zhigang Sun.

In Abstract Book – 1st International Seminar of SCOMA, number A4/ in Reports of the Department of Mathematical Information Technology, Series A, Collections, University of Jyv¨ askyl¨ a, Jyv¨ askyl¨ a, Yu. Kuznetsov. Mixed finite element method for diffusion equations on polygonal meshes with mixed cells.

Numer. An Optimization Based Domain Decomposition Method for Stochastic Optimal Control Problems. Jangwoon Lee*, University of Mary Washington Lee, Yonsei University Hwang, Yonsei University () Thursday January 5,a.m a.m.

AMS Contributed Paper Session on Ordinary Differential Equations. In finite element method are displacement interpolated within the finite elements as u = ∑ N i ui, v = ∑ N i vi, i w = ∑ N i wi, i () i where ui, vi, wi are nodal displacements and Ni are shape functions.

Substituting these equations into expressions of Green’s strain components, we obtain 1 ε = .The present study provides an overview of modeling and discretization aspects in finite element analysis of thin‐walled structures.

Shell formulations based upon derivation from three‐dimensional continuum mechanics, the direct approach, and the degenerated solid concept are compared, highlighting conditions for their equivalence.Stokes equations.

This method is a very efficient method for massively parallel simulation due to local and linear where tis the pseudo-time (Fig.

1). This material model is referred to as M, it takes t suitable stabilization are needed to ensure an optimal method also for elements of high order. Here we follow [2]. The condition at the File Size: 16MB.