Numerical Computation Of Shock Wave
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Author | : Seán Prunty |
Publisher | : |
Total Pages | : 0 |
Release | : 2021 |
Genre | : |
ISBN | : 9783030636074 |
This book provides an elementary introduction to one-dimensional fluid flow problems involving shock waves in air. The differential equations of fluid flow are approximated by finite difference equations and these in turn are numerically integrated in a stepwise manner, with artificial viscosity introduced into the numerical calculations in order to deal with shocks. This treatment of the subject is focused on the finite-difference approach to solve the coupled differential equations of fluid flow and presents the results arising from the numerical solution using Mathcad programming. Both plane and spherical shock waves are discussed with particular emphasis on very strong explosive shocks in air. This expanded second edition features substantial new material on sound wave parameters, Riemann's method for numerical integration of the equations of motion, approximate analytical expressions for weak shock waves, short duration piston motion, numerical results for shock wave interactions, and new appendices on the piston withdrawal problem and numerical results for a closed shock tube. This text will appeal to students, researchers, and professionals in shock wave research and related fields. Students in particular will appreciate the benefits of numerical methods in fluid mechanics and the level of presentation.
Author | : Sean Prunty |
Publisher | : |
Total Pages | : 257 |
Release | : 2019 |
Genre | : Shock waves |
ISBN | : 9783030025663 |
This book provides an elementary introduction to some one-dimensional fluid flow problems involving shock waves in air. The differential equations of fluid flow are approximated by finite difference equations and these in turn are numerically integrated in a stepwise manner. Artificial viscosity is introduced into the numerical calculations in order to deal with shocks. The presentation is restricted to the finite-difference approach to solve the coupled differential equations of fluid flow as distinct from finite-volume or finite-element methods. This text presents the results arising from the numerical solution using Mathcad programming. Both plane and spherical shock waves are discussed with particular emphasis on very strong explosive shocks in air. This text will appeal to students, researchers, and professionals in shock wave research and related fields. Students in particular will appreciate the benefits of numerical methods in fluid mechanics and the level of presentation.
Author | : Shuxing Chen |
Publisher | : Springer Nature |
Total Pages | : 260 |
Release | : 2020-09-04 |
Genre | : Mathematics |
ISBN | : 9811577528 |
This book is aimed to make careful analysis to various mathematical problems derived from shock reflection by using the theory of partial differential equations. The occurrence, propagation and reflection of shock waves are important phenomena in fluid dynamics. Comparing the plenty of studies of physical experiments and numerical simulations on this subject, this book makes main efforts to develop the related theory of mathematical analysis, which is rather incomplete so far. The book first introduces some basic knowledge on the system of compressible flow and shock waves, then presents the concept of shock polar and its properties, particularly the properties of the shock polar for potential flow equation, which are first systematically presented and proved in this book. Mathematical analysis of regular reflection and Mach reflection in steady and unsteady flow are the most essential parts of this book. To give challenges in future research, some long-standing open problems are listed in the end. This book is attractive to researchers in the fields of partial differential equations, system of conservation laws, fluid dynamics, and shock theory.
Author | : Irina A. Graur |
Publisher | : |
Total Pages | : 25 |
Release | : 1999 |
Genre | : |
ISBN | : |
Author | : Arthur Rizzi |
Publisher | : Springer-Verlag |
Total Pages | : 283 |
Release | : 2013-08-13 |
Genre | : Science |
ISBN | : 3663140083 |
Author | : Michael Shearer |
Publisher | : SIAM |
Total Pages | : 272 |
Release | : 1991-01-01 |
Genre | : Science |
ISBN | : 9780898712834 |
One strongly represented theme is the power of ideas from dynamical systems that are being adapted and developed in the context of shock waves.
Author | : National Aeronautics and Space Administration (NASA) |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 32 |
Release | : 2018-07-11 |
Genre | : |
ISBN | : 9781722422684 |
A control-volume based finite difference computation of a turbulent transonic flow over an axisymmetric curved hill is presented. The numerical method is based on the SIMPLE algorithm, and hence the conservation of mass equation is replaced by a pressure correction equation for compressible flows. The turbulence is described by a k-epsilon turbulence model supplemented by a near-wall turbulence model. In the method, the dissipation rate in the region very close to the wall is obtained from an algebraic equation and that for the rest of the flow domain is obtained by solving a partial differential equation for the dissipation rate. The other flow equations are integrated up to the wall. It is shown that the present turbulence model yields the correct location of the compression shock. The other computational results are also in good agreement with experimental data. Kim, S.-W. Glenn Research Center NASA ORDER C-99066-G; RTOP 505-62-21...
Author | : S.-W. Kim |
Publisher | : |
Total Pages | : 34 |
Release | : 1989 |
Genre | : |
ISBN | : |
Author | : Yoshisuke Nakano |
Publisher | : |
Total Pages | : 29 |
Release | : 1970 |
Genre | : Blast effect |
ISBN | : |
A finite difference method for predicting the effect of shock waves on a circular cylindrical cavity in elastic-plastic media was studied. A two-dimensional Lagrangian code was found quite satisfactory. Attenuation of the shock waves through the cavity and the deformation of the cavity wall were discussed. (Author).
Author | : Seán Prunty |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2019-01-29 |
Genre | : Technology & Engineering |
ISBN | : 9783030025649 |
This book provides an elementary introduction to some one-dimensional fluid flow problems involving shock waves in air. The differential equations of fluid flow are approximated by finite difference equations and these in turn are numerically integrated in a stepwise manner. Artificial viscosity is introduced into the numerical calculations in order to deal with shocks. The presentation is restricted to the finite-difference approach to solve the coupled differential equations of fluid flow as distinct from finite-volume or finite-element methods. This text presents the results arising from the numerical solution using Mathcad programming. Both plane and spherical shock waves are discussed with particular emphasis on very strong explosive shocks in air. This text will appeal to students, researchers, and professionals in shock wave research and related fields. Students in particular will appreciate the benefits of numerical methods in fluid mechanics and the level of presentation.