3 edition of **Viscous shock profiles and primitive formulations** found in the catalog.

Viscous shock profiles and primitive formulations

Shlomo Karni

- 274 Want to read
- 12 Currently reading

Published
**1990**
by National Aeronautics and Space Administration, Langley Research Center, National Technical Information Service, distributor in Hampton, Va, [Springfield, Va
.

Written in English

- Conservation laws (Mathematics)

**Edition Notes**

Statement | S. Karni. |

Series | ICASE report -- no. 90-28., NASA contractor report -- 182029., NASA contractor report -- NASA CR-182029. |

Contributions | Langley Research Center. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL15377453M |

A specific super-Alfvénic normal shock is chosen. Computed values of the magnetic field, in and near the shock, are given for various later times. Two diffusing Alfvén waves of the amplitudes predicted by infinite conductivity theory are shown to propagate away from the shock region, leaving behind the expected steady-state shock profile. SPE Member Price of USD Building on the comprehensive, fundamental mechanisms and mathematical computations detailed in the First Edition, the new Second Edition of Enhanced Oil Recovery presents the latest insights into the applications of EOR processes, including -Field-scale thermal-recovery such as steam-assisted gravity drainage and cyclic steam stimulation.

Primitive Variable Formulation: Numerical Integration of the Navier-Stokes Equation; Flow Past a Circular Cylinder: An Example for the Vorticity-Stream Function Formulation; Appendix Bibliography Index (source: Nielsen Book Data) Summary. techniques based on the Galerkin models of primitive variable formula- tions, and finite-difference techniques based on stream function-vorticity formulations. The initial developments are reviewed in the book of Crochet et al. [2]. Since then the .

15 Energy theorems, duality, and variational formulations Elastic energy of a material Duality – generalization The energy theorems Variational formulations Virtual power theorem and variational formulations 16 Introduction to nonlinear constitutive laws and to homogenization Get this from a library! Finite Element Methods for Viscous Incompressible Flows: a Guide to Theory, Practice and Algorithms.. [Max D Gunzburger] -- In this book, the author examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important.

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It is shown that for primitive formulations, shock relations are not uniquely defined by the states to either side of the shock, but also depend on the viscous path connecting the two. Consistent viscous shock profiles are enforced by adding scheme-dependent small viscous perturbations that account for leading order conservation by: Weak solutions of hyperbolic systems in primitive (nonconservative) form for which a consistent conservation form exists are considered.

It is shown that for primitive formulations, shock relations are not uniquely defined by the states to either side of the shock, but also depend on the viscous path connecting the two.

Consistent viscous shock profiles are enforced by adding Cited by: It is shown that for primitive formulations, shock relations are not uniquely defined by the states to either side of the shock, but also depend on the viscous path connecting the two.

Consistent viscous shock profiles are enforced by adding scheme-dependent small viscous perturbations that account for leading order conservation errors. Get this from a library. Viscous shock profiles and primitive formulations. [S Karni; Langley Research Center.].

It is shown that primitive formulations, shock relations are not uniquely defined by the states to either side of the shock but also depend on the viscous path connecting the two. Scheme-dependent high order correction terms are derived that enforce consistent viscous shock profiles.

The resulting primitive algorithm is conservative to the Author: S. Karni. VISCOUS SHOCK PROFILES AND PRIMITIVE FORMULATIONS S. Karni 1 College of Aeronautics Cranfield Institute of Technology Cranfield, Bedford MK43, OAL ENGLAND ABSTRACT We consider weak solutions of hyperbolic systems in primitive (non-conservation) form for which a consistent conservation form exists.

We show that for primitive formulations, shock. We show how to find its stationary viscous shock profiles, and we show how to determine the rate of decay of perturbations of the profiles.

We get more precise decay rates and more information about the Typeset by ~4~-TEX 97 98 S. ENGELBERG effects of the weight on the rate of decay of the perturbation than do either [1] or [2].

Karni, S. Viscous shock profiles and primitive formulations. SIAM J. Numer. Anal. 29, – Karni, S. Multi-component flow calculations by a consistent primitive algorithm. Comput Phys. Shock interactions with heavy gaseous elliptic cylinders. Shock waves are the solution features that demand the utilisation of conservative methods.

Practical computational experience shows that the use of a non-conservative method results in the wrong shock strength and thus the wrong propagation speed.

To some extent an exception is the Random Choice Method (RCM) of Glimm (Glimm, ). We are interested in the solution of non-conservative hyperbolic systems, and consider in particular the so-called path-conservative schemes (see.

The numerical energies at k =, are given in Fig. the initial density is 1, the physical spacing Δ x = ρ Δ ξ = Δ ing to, the relative energy is a linear function of viscosity coefficient Remark 3, the peak values of overheating errors are almost in proportion to the factor k in viscosity coefficient.

Fig. 3 gives some peak values of energies with. Abstract. Extending single-component flow descriptions to two-component fluid flows represents only a small modelling generalization.

For example, the standard conservation laws that described the dynamics of a single-component fluid flow may now be written for the two-component fluid mixture, augmented by an evolution equations that describe its composition.

It is shown that primitive formulations, shock relations are not uniquely defined by the states to either side of the shock but also depend on the viscous path connecting the two. However, untilGilbarg [19] gave us the first rigorous convergence analysis of vanishing physical viscosities from the Navier-Stokes equations.

System Upgrade on Feb 12th During this period, E-commerce and registration of new users may not be available for up to 12 hours. For online purchase, please visit us again. Numerical Computation of Compressible and Viscous is written for those who want to calculate compressible and viscous flow past aerodynamic bodies.

As taught by Robert W. MacCormack at Stanford University, it allows readers to get started in programming for solving initial value problems. The present book – through the topics and the problems approach – aims at filling a gap, a real need in our literature concerning CFD (Computational Fluid Dynamics).

Our presentation results from a large documentation and focuses on reviewing the present day most important numerical and computational methods in CFD.

Many theoreticians and experts in. The turbulent kinetic energy plotted in Fig. 1 is normalized by its value immediately upstream of the shock. A characteristic length of 2 λ is used for normalizing the shock-normal distance, where λ is the Taylor microscale in the incoming turbulent flow.

In the absence of mean velocity gradient upstream of the shock, the turbulent kinetic energy (TKE) decays from its inlet value. E-Book: Smart Materials™ - Vibration Damping Vibration in hand-held tools can cause discomfort and potentially lead to muscle and joint damage. Download this e-book to explore the different types of vibration and identify ways you can use materials to mitigate the problems it causes.

Span 20 formulations with cholesterol were highly viscous, while Tween 80 formulations were less viscous. Polyhedral niosomes were reported to have high viscosity at room temperature when compared to spherical niosomes because of their rigid shape and temperature-dependant shape transformation (18).

Viscous Shock Profiles and Primitive Formulations. SIAM Journal on Numerical Analysis, 29, pp. (). Accelerated Convergence to Steady-State by Gradual Far-Field Damping. AIAA Journal, 30, pp. (). To the Boundary and Back - A Numerical Study. International Journal on Numerical Methods for Fluids, 13, pp.

().1 day ago In summary, in the vorticity-stream function formulation, the governing equations are replaced by V = − Δ ψ and D V D t = − 2 θ ¨ in D.

This formulation, the so-called vorticity, stream-function formulation, is an alternate one to that described in reference [2], which we call a primitive-variables formulation.IV. Viscous–Wave Drag Breakdown.

F S provides the whole profile drag, but, in case of transonic flow, its breakdown in viscous and wave components is not trivial.

The contribution to F S is only obtained in the wake (the region where ℓ ≠ 0) and a straightforward choice could be obtained by separating integration in the contribution due to the intersection of S far with the .