This book covers a wide area of topics, from fundamental theories to industrial applications. 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 Riemann-solvers and on numerical procedures in complex flows.
Aspects (and aspect ratios) of cartesian mesh methods.- Multigrid by agglomeration for the acceleration of compressible flow calculations on unstructured meshes : Parallel computing issues and industrial applications.- Efficient calculation of 3-D turbulent transonic flows.- Rapid convergence of airfoil design problems using progressive optimization.- Time-accurate fluid-structure coupling for turbulent flows.- Airfoil design using a coupled euler and integral boundary layer method with adjoint based sensitivities.- Hybrid-cartesian grid procedure for the simulation of compressible turbulent flows.- Algorithm for construction of quasi-isometric grids in curvilinear quadrangular regions.- Approximation of compressible flows by a reduced order model.- Numerical simulations of two blasts by a supersonic projectile discharged from a tube.- Numerical study of effects of a bellmouth on the entrance pipe flow.- A fast, matrix-free implicit method for compressible flows on unstructured grids.- A supersonic inverse wing design method and its application to Japanese SST.- Colocated discretization of the navier-stokes equations on highly non-smooth grids.- Parallel computations on pressure fluctuations of supersonic cavity flows.- A non-splitting unstructured-triangular-mesh euler solver based on the method of space-time conservation element & solution element.- Numerical study of near-wall coherent structures and their control in turbulent boundary layers.- Roll cells in turbulent plane couette flow: Reality or artifact?.- Dynamic multilevel methods and non-homogeneous turbulence.- A numerical study of grid turbulence in two dimensions.- Existence of physical small scales in buoyant-capillary convection flows.- Large eddy simulation of flow and heat transfer of an impinging radial jet.- Simulation of subsonic spatially developing turbulent shear flows.- Highly unsteady flows in curved pipes.- Hamiltonian modelling of dispersion in complex topography.- High reynolds number large-eddy simulation of free shear flows.- Capturing correct solutions in CFD.- An assessment of artificial compressibility and pressure projection methods for incompressible flow simulations.- L.E.S. of a spatially developing 3D incompressible mixing layer with velocity vorticity formulation.- A numerical study of periodically forced flows using a spectral-projection method.- Numerical simulation of a spherical Taylor-Couette flow bifurcation by a continuation method.- Simulation of internal and free turbulent flows.- Perspectives of turbulence second-order modelling in a swirling flow.- Direct spectral solvers for complex and 3D rotating flows.- Numerical modelling of the fluid oscillations in the reservoir.- Successive bifurcations in a shallow-water ocean model.- 2D lid-driven cavity flow at high Reynolds numbers: Some interesting fluid-dynamical issues.- Efficient computation of compressible flows.- Multidimensional residual distribution schemes for the pseudo-compressible Euler and Navier-Stokes equations on unstructured meshes.- A Roe scheme for the bi-temperature model of magnetohydrodynamics.- Discontinuous Galerkin schemes for the compressible Navier-Stokes equations.- Positively conservative Roe's matrix for Euler equations.- Reliable flow solver based on the high order control volume Padé-type differences.- Shock-capturing schemes for L.E.S. applications.- Nonstationary supersonic flow around conical bodies.- Direct simulation of sound generated by collisions of two vortex rings.- Recent progress and applications of AUSM+.- An algorithm for low Mach number unsteady flows.- A numerical investigation on the inviscid and viscous generation of vorticity in high speed flows.- The exact Jacobian associated with steady PNS equations and its use to define new numerical schemes.- Time accurate simulations of supersonic unsteady flow.- A multigrid method for viscous incompressible and low speed compressible flows on high aspect ratio grids.- Supercomputer simulation of 3-D unsteady gas flows using a locally-adaptive unstructured grid technique.- Influence of the Riemann solver over the splitting method for the resolution of two-phase flows.- Adjoint formulation using auxiliary boundary equations (ABEs) demonstrated on the Stokes equations.- Parallel algorithms in the conservative splitting method for the Boltzmann equation.- A strong implementation of Kutta-Joukowski condition using Peculiar Velocity based Upwind (PVU) method.- A validation study of a hybrid fluctuation splitting scheme for transonic inviscid flows.- q-KFVS scheme A new higher order kinetic method for euler equations.- On the marginal stability of upwind schemes.- Second-order finite-element projection method for 3D flows.- Nonuniqueness of transonic flows.- The sonic point glitch problem: A numerical solution.- Convergence characteristics of approximate factorization methods.- Numerical simulation of three-dimensional incompressible turbulent flows using lattice boltzmann method.- Primitive upwind numerical methods for hyperbolic partial differential equations.- Evaluation of artificial dissipation models and their relationship to the accuracy of euler and Navier-Stokes computations.- Treating stiff source terms in conservation laws by the space-time conservation element and solution element method.- A numerical procedure CIP to solve all phases of matter together.- Numerical simulation of a plunging breaker.- Finite element method in the study of the multiple deck boundary layer flow of a class of non-Newtonian fluids.- Numerical simulation of wet-chemical etching.- Two approaches for reactive flow at low Mach number.- Mixing and chaotic fluid particle trajectories in the flow around two leap-frogging vortex rings.- A random particle method to simulate coalescence phenomena in dense liquid sprays.- Unstable motions of cellular flame fronts at low lewis numbers.- Numerical algorithms for premixed flames in closed channels.- Compressible bubbles with surface tension.- Two- and three-dimensional simulations of the thermonuclear runaway in an accreted atmosphere of a C+O white dwarf.- Numerical simulation of reacting and radiating flow in HSCT engines.- Multifluid computation of droplets impact.- Turbulent reacting flows in hypersonic aerodynamics.- Using multigrid methods for the computation of reactive flows at low mach numbers.- Modeling turbulent nuclear flames in Type Ia supernovae.- Methods for the numerical simulation of compressible interface flows.- Numerical investigation of nonequilibrium condensation effect around 3-D transonic wing in moist air.- Hypersonic flow computations in the continuum-transition regime using the augmented Burnett and BGK-Burnett equations.