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58987) Computational Fluid Dynamics and Reacting Gas Flows , B. Engquist ; M. Luskin ; A. Majda ; editors ; Springer Verlag New York / Berlin 1988 , IMA Institute for Mathematics and Its Applications volume 12 ; This IMA Volume in Mathematics and its Applications COMPUTATIONAL FLUID DYNAMICS AND REACTING GAS FLOWS is in part the proceedings of a workshop which was an integral part of the 1986-87 IMA program on SCIENTIFIC COMPUTATION. We are grateful to the Scientific Committee: Bjorn Engquist (Chairman), Roland Glowinski, Mitchell Luskin and Andrew Majda for planning and implementing an exciting and stimulating year-long program. We especially thank the Workshop Organizers, Bjorn Engquist, Mitchell Luskin and Andrew Majda, for organizing a workshop which brought together many of the leading researchers in the area of computational fluid dynamics. George R. Sell Hans Weinberger PREFACE Computational fluid dynamics has always been of central importance in scientific computing. It is also a field which clearly displays the essential theme of interaction between mathematics, physics, and computer science. Therefore, it was natural for the first workshop of the 1986- 87 program on scientific computing at the Institute for Mathematics and Its Applications to concentrate on computational fluid dynamics. In the workshop, more traditional fields were mixed with fields of emerging importance such as reacting gas flows and non-Newtonian flows. The workshop was marked by a high level of interaction and discussion among researchers representing varied `schools of thought` and countries. hard cover, size 16 x 24 cm , ex library copy , 346 pages

58963) TRANSONIC AERODYNAMICS NUMERICAL ANALYSIS , Petrović Z. , Stupar S. , Mechanical Engineering Faculty University of Belgrade 1996 ; Contents : 1 Introduction 1.1 Preliminary Remarks. 1.2 Governing Equations 1.3 Simplifications to the Governing Equations 1.3.1 Definition of an Adiabatic Flow. 1.3.2 Definition of an Irrotational Flow 1.3.3 Crocco`s Theorem 1.3.4 Isentropic Gas Relation 1.4 Algebraic Form of Energy Equation for Steady Adiabatic Flow 1.5 The Isentropic Form of the Energy Equation 1.6 The Momentum Conservation Laws. 1.7 Isentropic Shocks vs. `Real World Shocks` 1.7.1 Rankine-Hugoniot approach 1.7.2 Isentropic approach 1.8 Techniques for Handling Shocks in Potential Flow Calculations 1.9 Summary 2 Transonic Small Disturbance Equation 2.1 Preliminary Remarks. 2.1.1 Treatment of Flow Angle of Attack 2.2 Definition of Disturbance Potential 2.3 Boundаry Conditions for Flow at the Body Surface 2.4 Derivation of the TSD Equation 2.5 Properties of the TSD Equation. 2.6 Finite Difference Terminology 2.7 Conservation Form vs. Non-Conservation Form 2.8 Finite Difference Expression Form of the TSD Equation in Subsoni 2.9 Murman-Cole Switching in supersonic Regions 2.10 Discretization Error Associated with Equation (2.2) 2.11 Loss of Conservation Property due to Switching 2.12 Murman-Cole Switching in Conservation Form 2.13 Application of Boundary Conditions 2.13.1 Region Ahead of the Leading Edge: (1 2.13.2 Region of the Slit: (ILE SITE) 2.13.3 Region Downstream of the Trailing Edge: (ITE << Imax 2.14 Far Field Boundary Conditions 2.15 Relaxation Procedure for the TSD Equation 2.15.1 Gauss-Seidel Scheme 2.16 The Point Successive Over-Relaxation (SOR) Scheme 2.17 The Line Gauss-Seidel Iteration Scheme 2.18 The Thomas Algorithm 2.19 Solution of the SLOR Scheme to TSD Equation 2.20 Summary 3 The Transonic Full Potential Equation 3.1 Introduction 3.2 Jameson`s Rotated Difference Scheme 3.3 Transformation of the Continuity Equation to a Curvilinear Coordina System. 3.4 Boundary Conditions. 3.4.1 Boundary Condition at the Solid Surface 3.4.2 Boundary Conditions at the Far Field... 3.5 Governing Equation for Axisymmetric Flows in the Transformed Plan 3.6 Construction of the Body-Fitted Coordinate system... 3.6.1 H-grid, algebraic approach 3.6.2 O-grid, algebraic approach. 3.7 Construction of C-Grids Around Airfoils 3.8 Generation of the Orthogonal Grid... 3.9 Discretization of the Governing Equation 3.10 Computation of Metrics at Half Points 3.11 Computation of Densities and Contravariant Velocities.. 3.12 Relaxation Procedure for Solving the Full Potential Equation 3.12.1 Interior Points 3.13 Summary 4 Numerical Technique for Designing Airfoils 4.1 Introduction. 4.2 Optimization Approach 4.2.1 Design Objective 4.2.2 Design Point 4.2.3 Starting Point. 4.2.4 Design Variables 4.2.5 Design Constraints 4.2.6 Black Box. 4.3 CONMIN to Black Box Coupling. 4.3.1 Optimization Process 4.4 Inverse Design Techniques. 4.5 Carlson`s Inverse Design Technique.. 5 Unsteady Transonic Potential Flow 5.1 Introduction. 5.2 Governing Equations 5.3 Unsteady Transonic Small Disturbance Equation 5.4 Boundary Conditions. 5.5 Low-Frequency Approximation 5.6 Characteristic of the Low-Frequency Transonic Small Disturbance Equation. 5.7 Discretization of the Low-Frequency Small-Disturbance Equation. A Solution of the diagonal system of equations A.1 Three diagonal Equation System A.2 Quad-Diagonal Matrix System B Selected Papers paperback, size 20,5 x 29 cm , English , 152 pages

58965) Transonic , Shock , and Multidimensional Flows Advances in Scientific Computing , edited by Richard E. Meyer , Academic press New York / London 1982 , Mathematics Research Center Symposium: Transonic, Shock, and Multidimensional Flows: Advances in Scientific Computing covers the lectures presented at a Symposium on Transonic, Shock, and Multidimensional Flows, held in Madison on May 13-15, 1981, under the auspices of the Mathematics Research Center of the University of Wisconsin. The book focuses on the advancements in the scientific computation of high-speed aerodynamic phenomena and related fluid motions. The selection first elaborates on computational fluid dynamics of airfoils and wings; shock-free configurations in two- and three-dimensional transonic flow; and steady-state solution of the Euler equations for transonic flow. Discussions focus on boundary conditions, convergence acceleration, indirect design of airfoils, and trailing edge and the boundary layer. The text then examines the calculation of transonic potential flow past three-dimensional configurations and remarks on the numerical solution of Tricomi-type equations. The manuscript ponders on the design and numerical analysis of vortex methods, shock calculations and the numerical solution of singular perturbation problems, tracking of interfaces for fluid flow, and transonic flows with viscous effects. Topics include numerical algorithm, difference approximation for scalar equations, boundary conditions, transonic flow in a tube, and governing equations. The selection is a dependable reference for researchers interested in transonic, shock, and multidimensional flows. hard cover, size 16 x 23 cm , dust jacket, 345 pages, ex library copy ,