Numerical Methods for the Computation of Inviscid Transonic Flows with Shock Waves

ISBN-13: 9783528080778 / Niemiecki / Miękka / 1981 / 266 str.

Na Na;Na Na

Opis

This is one in a series of workshops organized by the GAID1 Specialist Group for Numerical Methods in Fluid Hechanics (GAMM-Fachausschuss flir Numerische Hethoden in der Stromungs mechanik) whose purpose is to bring together the small group of researchers actively working on a sharply defined topic in order to discuss in detail their problems and experiences, to promote direct comparison and critical evaluation of algorithms, and to stimulate new ideas for numerical methods in fluid dynamics. The chairmen of this workshop were A. Rizzi of FFA, Sweden, and H. Viviand of ONERA, France. 2. INTRODUCTION Practically ten years have passed since it was first demonstrat ed that the nonlinear potential equation of mixed type which governs inviscid transonic flow could be solved in a numerical procedure. These years have seen an interest in the computation of transonic flow that continues to grow because of the develop ing and ever-increasing ability of the numerical methods to solve more and more complex flows and because of the great practical use to which their solutions can be put. From the question of whether we can solve the equations of transonic flow we have now progressed to the question of how accurately can we solve them. Any attempt to answer it must by necessity include a collective comparison of the results obtained from the com putational methods that are being applied today for the numerical solution of inviscid steady transonic flow.

Spis treści

Boundary Conditions for Problems in Aerodynamics.- Accelerated Finite-Volume Calculation of Transonic Potential Flows.- Solution of the Transonic Full Potential Equation in Conservative Form Using an Implicit Algorithm.- Relaxation Method for the Full-Potential Equation.- Computation of Steady Inviscid Transonic Flows Using Pseudo-Unsteady Methods.- Transonic Flow Computation by a Multi-Grid Method.- Transonic Flow Computations with Finite Elements.- Transonic Flow Computations by a Variational Principle Finite Element Method.- A Finite Element Method for Computing Transonic Potential Flow.- Flow Calculations Using the Non-Conservative Potential Equation.- Test Problems for Inviscid Transonic Flow.- A Modification to the Method of Garabedian and Korn.- A Physically Consistent Time-Dependent Method for the Solution of the Euler Equations in Transonic Flow.- Numerical Solutions of the Euler Equations for Steady Transonic Flow Past a Lifting Aerofoil.- Finite-Volume Methods for the Solution of Euler Equations.- Computation of Rotational Transonic Flow.- Collective Comparison of the Solutions to the Workshop Problems.- A. Computational Mesh for Transonic Airfoils: The Standard Mesh.- B. Other Mesh Systems Used by the Participants.- C. Nonuniqueness of FCPOT Numerical Solution.