Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications: Proceedings of the Second International Conference on Nonlinear Hyperbolic Problems, Aachen, FRG, March 14 to 18, 1988

Front Matter....Pages I-X
Non-Oscillatory Schemes for Multidimensional Euler Calculations with Unstructured Grids....Pages 1-10
Finite-Difference Schemes with Dissipation Control Joined to a Generalization of Van Leer Flux Splitting....Pages 11-20
Computation of Inviscid Vortical Flows in Piston Engines....Pages 21-30
Convexity in Hyperbolic Problems. Application to a Discontinuous Galerkin Method for the Resolution of the Polydimensional Euler Equations....Pages 31-42
Admissibility Conditions for Weak Solutions of Nonstrictly Hyperbolic Systems....Pages 43-50
Uniformly Second Order Convergent Schemes for Hyperbolic Conservation Laws Including Leonard’s Approach....Pages 51-62
High Resolution Finite Volume Schemes and Computational Aerodynamics....Pages 63-74
A Stability Analysis of a Eulerian Method for Some Surface Gravity Wave Problems....Pages 75-84
A Quadrature Approximation of the Boltzmann Collision Operator in Axisymmetric Geometry and Its Application to Particle Methods....Pages 85-95
Boundary Conditions for Nonlinear Hyperbolic Systems of Conservation Laws....Pages 96-104
Time-Marching Method to Solve Steady Incompressible Navier-Stokes Equations for Laminar and Turbulent Flow....Pages 105-114
On the Finite Velocity of Wave Motion Modelled by Nonlinear Evolution Equations....Pages 115-127
Hyperbolic Schemes for Multi-Component Euler Equations....Pages 128-138
Multigrid Methods for the Solution of Porous Media Multiphase Flow Equations....Pages 139-148
A standard model of generic rotational degeneracy....Pages 149-158
A Numerical Method for a System of Equations Modelling one-Dimensional three-Phase Flow in a Porous Medium....Pages 159-168
Nonuniqueness of Solutions for Riemann Problems....Pages 169-178
Simple Stability Criteria for Difference Approximations of Hyperbolic Initial-Boundary Value Problems....Pages 179-185
Hyperbolic Heat Transfer Problems with Phase Transitions....Pages 186-192
Unsymmetric Hyperbolic Systems and Almost Incompressible Flow....Pages 193-208
Frequency Decomposition Multi-Grid Methods for Hyperbolic Problems....Pages 209-217
Existence and Uniqueness for Linear Hyperbolic Systems with Unbounded Coefficients....Pages 218-219
A Numerical Method for Computing Viscous Shock Layers....Pages 220-229
Solution of the Euler Equations for Unsteady, Two-Dimensional, Transonic Flow....Pages 230-237
On some Recent Results for an Explicit Conservation Law of Mixed Type in One Dimension....Pages 238-245
Qualitative behavior of solutions for Riemann problems of conservation laws of mixed type....Pages 246-256
Strongly Nonlinear Hyperbolic Waves....Pages 257-268
The Structure of the Riemann Solution for Non-Strictly Hyperbolic Conservation Laws....Pages 269-278
Detonation Initiation Due to Shock Wave-Boundary Interactions....Pages 279-288
Nonconvex Scalar Conservation Laws in One and Two Space Dimensions....Pages 289-299
Upwind Schemes for the Navier-Stokes Equations....Pages 300-309
Normal Reflection Transmission of Shocks Waves on a Plane Interface between Two Rubber-Like Media....Pages 310-319
On the Concept of Weak Solutions in the BV-Space....Pages 320-328
Numerical Solution of the Euler Equations Used for Simulation of 2D and 3D Steady Transonic Flows....Pages 329-341
Numerical schemes for the Euler equations in two space dimensions without dimensional splitting....Pages 342-352
Initial-Boundary Value Problems for Transonic Equations in the Unbounded Domain....Pages 353-361
Entropy Weak Solutions to Nonlinear Hyperbolic Systems in Nonconservation Form....Pages 362-373
A Velocity-Pressure Model for Elastodynamics....Pages 374-383
Higher Order Accurate Kinetic Flux Vector Splitting Method for Euler Equations....Pages 384-392
Monte Carlo Finite Difference Methods for the Solution of Hyperbolic Equations....Pages 393-402
Numerical Solution of Flow Equations an Aircraft Designer’s View....Pages 403-412
Hypersonic Blunt Body Computations Including Real Gas Effects....Pages 413-422
Airfoil Calculations in Cartesian Grids....Pages 423-434
Characteristic Galerkin Methods for Hyperbolic Systems....Pages 435-455
Numerical Simulations of Compressible Hydrodynamic Instabiltities with High Resolution Schemes....Pages 456-465
On the “Flux-Difference Splitting” Formulation....Pages 466-481
On Overdetermined Hyperbolic Systems....Pages 482-488
Runge-Kutta Split-Matrix Method for the Simulation of Real Gas Hypersonic Flows....Pages 489-498
On Some Viscoelastic Strongly Damped Nonlinear Wave Equations....Pages 499-509
TVD Schemes to Compute Compressible Viscous Flows on Unstructured Meshes....Pages 510-520
Nonstationary Shock Wave Generation in Droplet Vapour Mixtures....Pages 521-529
Nonlinear Resonance Phenomena for the Euler — Equations Coupled with Chemical Reaction — Kinetics....Pages 530-543
The Design of Algorithms for Hypersurfaces Mowing with Curvature-Dependent Speed....Pages 544-551
Prediction of Dispersive Errors in Numerical Solution of the Euler Equations....Pages 552-561
Numerical Prediction of Shock Wave Focusing Phenomena in Air with Experimental Verification....Pages 562-573
Fundamental Aspects of Numerical Methods for the Propagation of Multi-Dimensional Nonlinear Waves in Solids....Pages 574-588
On a Nonlinear Telegraph Equation with a Free Boundary....Pages 589-598
“TVD” Schemes for Inhomogeneous Conservation Laws....Pages 599-607
The L 1 -Norm Distinguishes the Strictly Hyperbolic from a Non-Strictly Hyperbolic Theory of the Initial Value Problem For Systems of Conservation Laws....Pages 608-616
The Riemann Problem with Umbilic Lines for Wave Propagation in Isotropic Elastic Solids....Pages 617-629
Random-Choice Based Hybrid Methods for One and Two Dimensional Gas Dynamics....Pages 630-639
Some Features of Numerical Algorithms for Supersonic Flow Computation around Wings of Lifting Vehicles....Pages 640-647
A Fully Implicit High-Resolution Scheme for Chemically Reacting Compressible Flows....Pages 648-659
Stability of Semi-Discrete Approximations for Hyperbolic Initial-Boundary-Value Problems: Stationary Modes....Pages 660-670
Some Supraconvergent Schemes for Hyperbolic Equations on Irregular Grids....Pages 671-677
The Homogeneous Homentropic Compression or Expansion-A Test Case for Analyzing Sod’s Operator-Splitting....Pages 678-687
Global Existence of Solutions of Noncharacteristic Mixed Problems to Nonlinear Symmetric Dissipative Systems of the First Order....Pages 688-697
Stability of Initial Boundary Value Problems for Hyperbolic Systems....Pages 698-707
Back Matter....Pages 708-718