Analysis and Simulation of Fluid Dynamics: Advances in Mathematical Fluid Mechanics

Some Recent Asymptotic Results in Fluid Mechanics.- Recent Mathematical Results and Open Problems about Shallow Water Equations.- Direct Numerical Simulation and Analysis of 2D Turbulent Flows.- Numerical Capture of Shock Solutions of Nonconservative Hyperbolic Systems via Kinetic Functions.- Domain Decomposition Algorithms for the Compressible Euler Equations.- The Two-Jacobian Scheme for Systems of Conservation Laws.- Do Navier-Stokes Equations Enable to Predict Contact Between Immersed Solid Particles?.- The Reduced Basis Element Method for Fluid Flows.- Asymptotic Stability of Steady-states for Saint-Venant Equations with Real Viscosity.- Numerical Simulations of the Inviscid Primitive Equations in a Limited Domain.- Some Recent Results about the Sixth Problem of Hilbert.- On Compressible and Incompressible Vortex Sheets.- Existence and Stability of Compressible and Incompressible Current-Vortex Sheets.

Collection of research articles on recent advances in the analysis and simulation of fluid dynamics Reviews hot topics and future trends in fluid dynamics Fosters exchanges between theoretical and numerical viewpoints Contains contributions by leading experts on mathematical analysis, asymptotics problems, numerical schemes and physics Concernes compressible and incompressible models