Journal of computational fluids engineering (한국전산유체공학회지)
- Volume 2 Issue 1
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- Pages.129-137
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- 1997
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- 1598-6071(pISSN)
Free surface flow of a Two-Layer fluid over a bump - Hydraulic Fall
방해물에 기인한 이층유체의 자유 계면에서의 변화 - Hydraulic Fall
- Choi J. W. (Dept. of Math. Coll. of Science, Korea University)
- 최정환 (고려대학교 이과대학 수학과)
- Published : 1997.04.01
Abstract
We consider long nonlinear waves in the two-layer flow of an inviscid and incompressible fluid bounded above by a free surface and below by a rigid boundary. The flow is forced by a bump on the bottom. The derivation of the forced KdV equation fails when the density ratio h and the depth ratio ρ yields a condition 1+hρ=(2-h)((1-h)²+4ρh)/sup 1/2/. To overcome this difficulty we derive a forced modified KdV equation by a refined asymptotic method. Numerical solutions are given and hydraulic fall solution of a two layer fluid is expressed analytically in the case that derivation of the forced KdV(FKdV) equaition fails.
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