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Tuesday, July 21, 2020 | History

4 edition of A scheme for the computation of shock waves in gases and fluids. found in the catalog.

A scheme for the computation of shock waves in gases and fluids.

by Herman Weyl

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  • 26 Currently reading

Published by Courant Institute of Mathematical Sciences, New York University in New York .
Written in English


The Physical Object
Pagination28 p.
Number of Pages28
ID Numbers
Open LibraryOL17983382M

  The Sod’s problem, which includes discontinuous solutions such as shock front and contact discontinuity, is utilized to assess the performance of the proposed solver in solving Euler equations (see Fig. 3).The computation is carried out with uniform points and with time integrated up to t = comparative numerical results calculated from original Roe solver and the . This paper continues investigations initiated previously by the authors on theoretical foundation of the methods for localization of shock waves by shock-capturing results of computation of gas dynamics problems in Eulerian variables. The results obtained are as follows. (1) Within the framework of the first differential approximation (f.d.a.) theory it is shown that the point of the scheme.

On a class of TVD schemes for gas dynamic calculations. A subdomain approach for the computation of compressible inviscid flows. obtained operator physical possible present pressure problem properties region relations relaxation replaced Riemann satisfy scalar scheme second-order shock shown shows simple smooth. suitable numerical scheme for dense gas flow computations in a shock tube is addressed. In particular, the extension of the classical Roe’s scheme to real gas flows is used and its performance is evaluated by comparing with the analytical profile of the dimensionless density obtained by Sod in the shock .

  Application of the Implicit MacCormack Scheme for Computation of Supersonic Turbulent Jets Using the Parabolized Navier—Stokes Equations. Simulation of shock wave propagation in gas discharge plasma regions. Shock-wave-turbulent-boundary-layer interaction and its control: A survey of recent developments. Research on shock wave mitigation in channels has been a topic of much attention in the shock wave community. One approach to attenuate an incident shock wave is to use obstacles of various geometries arranged in different patterns. This work is inspired by the study from Chaudhuri et al. (), in which cylinders, squares and triangles placed in staggered and non-staggered subsequent columns.


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A scheme for the computation of shock waves in gases and fluids by Herman Weyl Download PDF EPUB FB2

Plane Shock Waves (Compression Discontinuities) The Change of Speed and Thermodynamic Variables of a Gas Passing through a Normal Shock The Speed of Propagation of a Shock Wave and of the Accompanying Flow behind it The Effect of a Shock Wave on the Pressure in the Chamber of a Jet Engine.

Velocity Measurements in Supersonic Book Edition: 2. A new shock discontinuity sensing term is derived from the mixture equation of state, which is commonly used in the RoeM and AUSMPW+ schemes for the stable numerical flux calculation.

The. Shock wave reflection and diffraction over a semicircular cylinder in a pure gas flow is simulated first to show the excellent agreement between the present computation and the experimental results.

For the shock wave reflection and diffraction in a dusty gas, the effects of particle size and particle loading on the flow field are by: 3. Computation of shock wave reflection by circular cylinders. A kinetic flux splitting method for gas dynamics based on beam scheme.

International Journal for Numerical Methods in Fluids, Vol. 11, No. Multigrid solution of the Euler equations using implicit ENO by: Shock Waves in Gas Dynamics 61 Courant-Friedrichs™s book [19] gives the account of the e⁄orts on the equations by many of the leading mathematicians before A basic feature of hyperbolic systems of conservation laws is that there are rich phenomena of wave interactions involving shock waves and contact discontinuities.

The mathematical model of shock waves arose in connection with problems of the motion of gases and compressible fluids around the second half of the 19th century. The pioneering work in this area was conducted by Earnshaw, Riemann, Rankine and Hugoniot.

The common features of individual theories of continuum physics include conservation laws. Gas Dynamics: Basic Equations, Waves and Shocks. Basic Concepts of Fluid Mechanics Astrophysical Dynamics, VT collisional fluids must satisfy: (iii) l region >> mean free path of particles Acoustic Waves and Shock Waves Astrophysical Dynamics, VT Numerical Computation of Shock Waves in a Spherical Cloud of Cavitation Bubbles Yi-Chun Wang, J.

Fluids Eng. Dec(4): (9 pages)“Structure of Shock Waves in a Liquid Containing Gas Bubbles,” IUTAM Symposium on Waves in Liquid/Gas and Liquid/Vapour Two-Phase Systems, Morioka, S., and van Wijngaarden.

Holtz and E. Muntz, “Molecular velocity distribution functions in an argon normal shock wave at Mach number 7,” Phys. Fluids,26, (). Google Scholar 8. To simulate SIC, a high-order accurate shock- and interface-capturing scheme was developed27and is used here to simulate the full flow field generated by the interaction of a lithotripter pulse with a gas bubble near a solid surface.

The reflection of a finite amplitude wave from a curvilinear unsteady shock wave E. Grishechkin and F. Shugaev 13 April | Moscow University Physics Bulletin, Vol. 65, No.

The present study provides a detailed description of the dissipative structure of shock waves propagating in dense gases which have relatively large specific heats. The flows of interest are governed by the usual Navier–Stokes equations supplemented by realistic equations of state and realistic models for the density dependence of the viscosity and thermal conductivity.

The Riemann problem of planar shock waves is analysed for a dilute granular gas by solving Euler- and Navier–Stokes-order equations numerically. The density and temperature profiles are found to be asymmetric, with the maxima of both density and temperature occurring within the shock layer.

The computational results of two different cases on the evolution of the shock-SF6 heavy bubble interaction are presented. The shock focusing processes and jet formation mechanisms are analyzed by using the high resolution of computation schemes, and the influence of reflected shock waves is also investigated.

It is concluded that there are two steps in the shock focusing process. In computational fluid dynamics, shock-capturing methods are a class of techniques for computing inviscid flows with shock computation of flow containing shock waves is an extremely difficult task because such flows result in sharp, discontinuous changes in flow variables such as pressure, temperature, density, and velocity across the shock.

The IB is a general simulation method for FSI, whereas the WENO is an efficient scheme for fluid flow simulations and shock waves, and both of them work on regular cartesian grids.

The effectiveness and the accuracy of the coupled scheme are first analyzed on well‐documented supersonic test problems for a wide range of Mach numbers. Hybrid finite compact‐WENO schemes for shock calculation.

Yiqing Shen. Corresponding Author. E-mail address: Numerical Simulations of Shock Wave Propagating by a Hybrid Approximation Based on High-Order Finite Difference Schemes, Acta Physica Polonica A,1, (), (). Crossref. Computers & Fluids, 80, (). The shock focusing processes and jet formation mechanisms are analyzed by using the high resolution of computation schemes, and the influence of reflected shock waves is also investigated.

It is concluded that there are two steps in the shock focusing process behind the incident shock wave, and the density and pressure values increase. () A high-resolution scheme for compressible multicomponent flows with shock waves.

International Journal for Numerical Methods in Fluids() Numerical errors generated by WENO-based interface-capturing schemes in multifluid computations. Shock waves are generated. Shock waves are very small regions in the gas where the gas properties change by a large amount.

Across a shock wave, the static pressure, temperature, and gas density increases almost instantaneously. Because a shock wave does no work, and there is no heat addition, the total enthalpy and the total temperature are.

Novel quantum kinetic flux vector splitting schemes are presented for the computation of ideal quantum gas dynamical flows. The quantum Boltzmann equation approach is adopted and both Bose–Einstein and Fermi–Dirac gases are considered.

Formulas for one spatial dimension are first derived, and the resulting kinetic flux vector splitting scheme is tested for .Shock Waves in Arbitrary Fluids. The non-linear non-equilibrium nature of shock waves in gas dynamics is investigated for the planar case.

The suitability of Roe-type upwind schemes for.We construct the solutions to the strong shock wave problem with generalized geometries in nonideal magnetogasdynamics. Here, it is assumed that the density ahead of the shock front varies according to a power of distance from the source of the disturbance.

Also, an analytical expression for the total energy carried by the wave motion in nonideal medium under the influence of magnetic field is.