Numerical Simulations of the Stokes Flow by the Iterations of Boundary Conditions and Finite Difference
Title | Numerical Simulations of the Stokes Flow by the Iterations of Boundary Conditions and Finite Difference PDF eBook |
Author | |
Publisher | |
Pages | 194 |
Release | 2018 |
Genre | Differential equations, Linear |
ISBN |
Numerical Simulation of Compressible Navier-Stokes Flows
Title | Numerical Simulation of Compressible Navier-Stokes Flows PDF eBook |
Author | Marie Odile Bristeau |
Publisher | Springer Science & Business Media |
Pages | 350 |
Release | 2013-03-08 |
Genre | Technology & Engineering |
ISBN | 3322878732 |
With the advent of super computers during the last ten years, the numerical simulation of viscous fluid flows modeled by the Navier-Stokes equations is becoming a most useful tool in Aircraft and Engine Design. In fact, compressible Navier-Stokes solvers tend to constitute the basic tools for many industrial applications occuring in the simulation of very complex turbulent and combustion phenomena. In Aerospace Engineering, as an exemple, their mathematical modelization requires reliable and robust methods for solving very stiff non linear partial differential equations. For the above reasons, it was clear that a workshop on this topic would be of interest for the CFD community in order to compare accuracy and efficiency of Navier-Stokes solvers on selected external and internal flow problems using different numerical approaches. The workshop was held on 4-6 December 1985 at Nice, France and organized by INRIA with the sponsorship of the GAMM Committee on Numerical Methods in Fluid Mechanics.
Numerical Simulation of Non-Newtonian Flow
Title | Numerical Simulation of Non-Newtonian Flow PDF eBook |
Author | M.J. Crochet |
Publisher | Elsevier |
Pages | 367 |
Release | 2012-12-02 |
Genre | Science |
ISBN | 0444598553 |
Numerical Simulation of Non-Newtonian Flow focuses on the numerical simulation of non-Newtonian flow using finite difference and finite element techniques. Topics range from the basic equations governing non-Newtonian fluid mechanics to flow classification and finite element calculation of flow (generalized Newtonian flow and viscoelastic flow). An overview of finite difference and finite element methods is also presented. Comprised of 11 chapters, this volume begins with an introduction to non-Newtonian mechanics, paying particular attention to the rheometrical properties of non-Newtonian fluids as well as non-Newtonian flow in complex geometries. The role of non-Newtonian fluid mechanics is also considered. The discussion then turns to the basic equations governing non-Newtonian fluid mechanics, including Navier Stokes equations and rheological equations of state. The next chapter describes a flow classification in which the various flow problems are grouped under five main headings: flows dominated by shear viscosity, slow flows (slightly elastic liquids), small deformation flows, nearly-viscometric flows, and long-range memory effects in complex flows. The remainder of the book is devoted to numerical analysis of non-Newtonian fluids using finite difference and finite element techniques. This monograph will be of interest to students and practitioners of physics and mathematics.
Numerical Treatment of the Navier-Stokes Equations
Title | Numerical Treatment of the Navier-Stokes Equations PDF eBook |
Author | Wolfgang Hackbusch |
Publisher | Springer-Verlag |
Pages | 174 |
Release | 2013-09-03 |
Genre | Technology & Engineering |
ISBN | 3663140040 |
Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows
Title | Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows PDF eBook |
Author | Michel Deville |
Publisher | Vieweg+Teubner Verlag |
Pages | 234 |
Release | 2013-03-09 |
Genre | Technology & Engineering |
ISBN | 3663002217 |
The GAMM-Commi ttee for Numerical Methods in Fluid Mechanics (GAMM-Fachausschuss für Numerische Methoden in der Strömungsmechanik) has sponsored the organization of a GAMM Workshop dedicated to the numerical simulation of three dimensional incompressible unsteady viscous laminar flows to test Navier-Stokes solvers. The Workshop was held in Paris from June 12th to June 14th, 1991 at the Ecole Nationale Superieure des Arts et Metiers. Two test problems were set up. The first one is the flow in a driven-lid parallelepipedic cavity at Re = 3200 . The second problem is a flow around a prolate spheroid at incidence. These problems are challenging as fully transient solutions are expected to show up. The difficulties for meaningful calculations come from both space and temporal discretizations which have to be sufficiently accurate to resol ve detailed structures like Taylor-Görtler-like vortices and the appropriate time development. Several research teams from academia and industry tackled the tests using different formulations (veloci ty-pressure, vortici ty velocity), different numerical methods (finite differences, finite volumes, finite elements), various solution algorithms (splitting, coupled ...), various solvers (direct, iterative, semi-iterative) with preconditioners or other numerical speed-up procedures. The results show some scatter and achieve different levels of efficiency. The Workshop was attended by about 25 scientists and drove much interaction between the participants. The contributions in these proceedings are presented in alphabetical order according to the first author, first for the cavi ty problem and then for the prolate spheroid problem. No definite conclusions about benchmark solutions can be drawn.
Free-Surface Flow
Title | Free-Surface Flow PDF eBook |
Author | Nikolaos D. Katopodes |
Publisher | Butterworth-Heinemann |
Pages | 916 |
Release | 2018-10-31 |
Genre | Technology & Engineering |
ISBN | 0128154861 |
Free-Surface Flow: Computational Methods presents a detailed analysis of numerical schemes for shallow-water waves. It includes practical applications for the numerical simulation of flow and transport in rivers and estuaries, the dam-break problem and overland flow. Closure models for turbulence, such as Reynolds-Averaged Navier-Stokes and Large Eddy Simulation are presented, coupling the aforementioned surface tracking techniques with environmental fluid dynamics. While many computer programs can solve the partial differential equations describing the dynamics of fluids, many are not capable of including free surfaces in their simulations. - Provides numerical solutions of the turbulent Navier-Stokes equations in three space dimensions - Includes closure models for turbulence, such as Reynolds-Averaged Navier-Stokes, and Large Eddy Simulation - Practical applications are presented for the numerical simulation of flow and transport in rivers and estuaries, the dam-break problem and overland flow
Computational Methods for Fluid Dynamics
Title | Computational Methods for Fluid Dynamics PDF eBook |
Author | Joel H. Ferziger |
Publisher | Springer Science & Business Media |
Pages | 376 |
Release | 2012-12-06 |
Genre | Technology & Engineering |
ISBN | 3642976514 |
A detailed description of the methods most often used in practice. The authors are experts in their fields and cover such advanced techniques as direct and large-eddy simulation of turbulence, multigrid methods, parallel computing, moving grids, structured, block-structured and unstructured boundary-fitted grids, and free surface flows. The book shows common roots and basic principles for many apparently different methods, while also containing a great deal of practical advice for code developers and users. All the computer codes can be accessed from the Springer server on the internet. Designed to be equally useful for beginners and experts.