Interaction of a weak discontinuity with elementary waves of Riemann problema. (English) Zbl 1273.76261
Summary: We study the interaction of a weak discontinuity wave with the elementary waves of the Riemann problem for the one-dimensional Euler equations governing the flow of ideal polytropic gases, and investigate the effects of initial states, and the shock strength on the jumps in shock acceleration and the reflected and transmitted waves.{
©2012 American Institute of Physics}
©2012 American Institute of Physics}
References:
| [1] | DOI: 10.1080/00036817308839058 · Zbl 0256.35054 · doi:10.1080/00036817308839058 |
| [2] | DOI: 10.1080/00036817408839077 · Zbl 0298.35041 · doi:10.1080/00036817408839077 |
| [3] | Jeffrey A., Quasilinear Hyperbolic Systems and Waves (1976) · Zbl 0322.35060 |
| [4] | Brun L., Mechanical Waves in Solids (1975) · Zbl 0374.73032 |
| [5] | DOI: 10.1017/S0308210500011331 · Zbl 0416.76029 · doi:10.1017/S0308210500011331 |
| [6] | DOI: 10.1080/00036819308840191 · Zbl 0739.76029 · doi:10.1080/00036819308840191 |
| [7] | DOI: 10.1016/0165-2125(79)90017-9 · Zbl 0418.35065 · doi:10.1016/0165-2125(79)90017-9 |
| [8] | DOI: 10.1063/1.524977 · doi:10.1063/1.524977 |
| [9] | DOI: 10.1080/00036818308839462 · Zbl 0529.73031 · doi:10.1080/00036818308839462 |
| [10] | DOI: 10.1002/zamm.19880680128 · Zbl 0637.76132 · doi:10.1002/zamm.19880680128 |
| [11] | DOI: 10.1007/BF01138305 · Zbl 0795.76097 · doi:10.1007/BF01138305 |
| [12] | DOI: 10.1016/j.wavemoti.2006.12.002 · Zbl 1231.76132 · doi:10.1016/j.wavemoti.2006.12.002 |
| [13] | DOI: 10.1007/s10665-007-9182-2 · Zbl 1131.76031 · doi:10.1007/s10665-007-9182-2 |
| [14] | DOI: 10.1080/00036818008839323 · Zbl 0482.76062 · doi:10.1080/00036818008839323 |
| [15] | DOI: 10.1007/BF00948313 · Zbl 0506.76072 · doi:10.1007/BF00948313 |
| [16] | DOI: 10.1007/BF01190396 · Zbl 0478.76127 · doi:10.1007/BF01190396 |
| [17] | DOI: 10.1093/qjmam/hbn011 · Zbl 1152.76059 · doi:10.1093/qjmam/hbn011 |
| [18] | DOI: 10.1016/j.wavemoti.2007.09.005 · Zbl 1231.76130 · doi:10.1016/j.wavemoti.2007.09.005 |
| [19] | DOI: 10.1007/978-1-4684-0152-3 · doi:10.1007/978-1-4684-0152-3 |
| [20] | Sharma V. D., Quasilinear Hyperbolic Systems, Compressible Flows and Waves (2010) · Zbl 1200.76002 · doi:10.1201/9781439836910 |
| [21] | DOI: 10.1002/cpa.3160100406 · Zbl 0081.08803 · doi:10.1002/cpa.3160100406 |
| [22] | Serre D., Systems of Conservation Laws (1999) · Zbl 0930.35001 · doi:10.1017/CBO9780511612374 |
| [23] | Anile A. M., Ray Methods for Nonlinear Waves in Fluids and Plasmas (1993) · Zbl 0818.76001 |
| [24] | Boillat G., Nonlinear Wave Propagation (1996) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
