Model of a strong discontinuity for the equations of spatial long waves propagating in a free-boundary shear flow
The long-wave equations describing three-dimensional shear wave motion of a free-surface ideal fluid are rearranged to a special form and used to describe discontinuous solutions. Relations at the discontinuity front are derived, and stability conditions for the discontinuity are formulated. The pro...
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| Veröffentlicht in: | Journal of applied mechanics and technical physics 2008-07, Vol.49 (4), p.693-698 |
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| container_end_page | 698 |
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| container_issue | 4 |
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| container_title | Journal of applied mechanics and technical physics |
| container_volume | 49 |
| creator | Teshukov, V. M. Khe, A. K. |
| description | The long-wave equations describing three-dimensional shear wave motion of a free-surface ideal fluid are rearranged to a special form and used to describe discontinuous solutions. Relations at the discontinuity front are derived, and stability conditions for the discontinuity are formulated. The problem of determining the flow parameters behind the discontinuity front from known parameters before the front and specified velocity of motion of the front are investigated. |
| doi_str_mv | 10.1007/s10808-008-0086-3 |
| format | Article |
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| ispartof | Journal of applied mechanics and technical physics, 2008-07, Vol.49 (4), p.693-698 |
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| subjects | Applications of Mathematics Classical and Continuum Physics Classical Mechanics Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Mechanical Engineering Physics Physics and Astronomy |
| title | Model of a strong discontinuity for the equations of spatial long waves propagating in a free-boundary shear flow |
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