Lie group analysis of nonlinear inviscid flows with a free surface under gravity
نویسندگان
چکیده
منابع مشابه
Simulation of Gravity Wave Propagation in Free Surface Flows by an Incompressible SPH Algorithm
This paper presents an incompressible smoothed particle hydrodynamics (SPH) model to simulate wave propagation in a free surface flow. The Navier-Stokes equations are solved in a Lagrangian framework using a three-step fractional method. In the first step, a temporary velocity field is provided according to the relevant body forces. This velocity field is renewed in the second step to include t...
متن کاملOn the Stability of Inviscid Parallel Shear Flows with a Free Surface
We consider the linear stability of inviscid parallel shear flow with a free surface. Gravity is included in the analysis, but surface tension is not. We focus on several specific profiles including Poiseuille flow and various profiles with inflection points. Instabilities are found in all the profiles we studied. At neutral limiting modes, the wave speed of the disturbance is equal to one of t...
متن کاملSurface Effect on Nonlinear Free Vibration Analysis of Nanotubes
In this work,The free nonlinear vibrations of nanotubes using the Euler-Bernoulli beam theory along with the von Kármán geometric nonlinearity in presence of surface effects has been investigated. Natural frequencies of a simply-supported nanotube in terms of the Jacobi elliptic functions are obtained by using the free vibration modes of the corresponding linear problem. The numerical results d...
متن کاملLaboratory observations of mean flows under surface gravity waves
S. G. MONISMITH, E. A. COWEN, H. M. NEPF, J. MAGNAUDET AND L. THAIS Environmental Fluid Mechanics Laboratory, Stanford University Stanford, CA 94305-4020, USA Department of Civil and Environmental Engineering Cornell University, Ithaca, NY 14853, USA Parsons Laboratory, MIT, Cambridge MA 02139, USA Institut de Mécanique des Fluides de Toulouse, UMR-CNRS-INPT-UPS 5502, Toulouse 31400, France Lab...
متن کاملThe Blowhard Problem- Inviscid Flows with Surface Injection
A simple model is presented for the analysis of inviscid flow fields over slender bodies accompanied by high rates of surface mass transfer. This model assumes a thin, inviscid injectant layer, which is separated from the outer flow by a contact discontinuity. Inviscid boundary-layer equations are shown to be applicable within the injectant layer, and the pressure gradient is found by matching ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2014
ISSN: 0377-0427
DOI: 10.1016/j.cam.2013.07.051