Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 364
Book Description
The Sixth Copper Mountain Conference on Multigrid Methods, Part 2
Author: Looking for O(N) Navier-Stokes Solutions on Non-structured Meshes
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 22
Book Description
Multigrid methods are good candidates for the resolution of the system arising in Numerical Fluid Dynamics. However, the question is to know if those algorithms which are efficient for the Poisson equation on structured meshes will still apply well to the Euler and Navier-Stokes equations on unstructured meshes. The study of elliptic problems leads us to define the conditions where a Full Multigrid-strategy has O(N) complexity. The aim of this paper is to build a comparison between the elliptic theory and practical CFD problems. First, as an introduction, we will recall some basic definitions and theorems applied to a model problem. The goal of this section is to point out the different properties that we need to produce an FMG algorithm with O(N) complexity. Then, we will show how we can apply this theory to the fluid dynamics equations such as Euler and Navier-Stokes equations. At last, we present some results which are 2nd-order accurate and some explanations about the behaviour of the FMG process ... Unstructured, Multigrid, Non-linear, Euler/Navier-Stokes, Steady equations, FMG, O(N) Complexity.
Mathematical Reviews
Author: Experimentation Modeling and Computation in Flow, Turbulence and Combustion
Author: Jean-Antoine DésidériPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 320
Book Description
Volume 2 of this significant work presents previously unpublished cutting-edge lectures from the Third French-Russian Workshop on Fluid Dynamics held in Tashkent in April 1995. Reflecting the Workshop?s main themes, this book particularly focuses on: expermental investigation of unsteady separated flow, 3D configurations, laminar and transitional flows, turbulent shock, shock interaction in hypersonic flow, pressure pulsation in separated flows and jets and high enthalpy flows using wind tunnels. modeling of free surface flows, natural gas combustion, vortical gas flows and acoustic processes in complex channels, non-equilibrium hypersonic viscous flows, wall law for fluids and compressible fluid jets with vortex zones. theoretical predictions of aerodynamic performances with analyses of supersonic combustion, detonation, and sumulation of reactive mixing layer. solution methods for quasilinear parabolic equations and other calculations including incompressible Navier Stokes equations and parabolic equations by Monte-Carlo methods. numerical algorithms for the simulation of atmospheric gas dynamics, kinetic schemes for viscous gas dynamic flows and evolutionary algorithms for complex optimization problems. This book will be of particular interest to all engineers and research scientists in Fluid Dynamics, Aeronautics, Aerospace and Mechanical or Applied Mathematics.
Mathematical Methods in Fluid Dynamics
Author: Miloslav FeistauerPublisher: Chapman and Hall/CRC
ISBN:
Category : Mathematics
Languages : en
Pages : 724
Book Description
Part of the "Pitman Monographs and Surveys in Pure and Applied Mathematics" series, this text examines mathematical methods in fluid dynamics.
Embedding Methods for the Steady Euler Equations
Author: Numerical Approximation of Hyperbolic Systems of Conservation Laws
Author: Edwige GodlewskiPublisher: Springer Nature
ISBN: 1071613448
Category : Mathematics
Languages : en
Pages : 846
Book Description
This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.
Finite Element Methods for Fluids
Author: Olivier PironneauPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 224
Book Description
Introduces the formulation of problems in fuild mechanics and dynamics, and shows how they can be analyzed and resolved using finite element methods. This practical book also discusses the equations of fluid mechanics and investigates the problems to which these equations can be applied, as well as how they can be analyzed and solved. Contains illustrations of computer simulations using the methods described in the book and features numerous illustrations.
Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications
Author: Yves AchdouPublisher: Springer
ISBN: 3642364330
Category : Mathematics
Languages : en
Pages : 316
Book Description
These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity solutions, asymptotic behaviors, mean field games, approximation and numerical methods, idempotent analysis. The content of the courses ranged from an introduction to viscosity solutions to quite advanced topics, at the cutting edge of research in the field. We believe that they opened perspectives on new and delicate issues. These lecture notes contain four contributions by Yves Achdou (Finite Difference Methods for Mean Field Games), Guy Barles (An Introduction to the Theory of Viscosity Solutions for First-order Hamilton-Jacobi Equations and Applications), Hitoshi Ishii (A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations) and Grigory Litvinov (Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations).
Transport Theory
Author: James J. DuderstadtPublisher: John Wiley & Sons
ISBN:
Category : Science
Languages : en
Pages : 630
Book Description
Problems after each chapter