Anomalous waves in gas-liquid mixtures near gas critical point in Gardner equation approximation

All-Russian Conference with the School for Young Scientists “Thermophysics and Physical Hydrodynamics –2016”

Gasenko, V.G.^1

Institute of Thermophysics, Lavrentiev avenu 1, Novosibirsk, Russia^1

关键词: Fourier methods;    Gardner equations;    Gas;    Liquid mixtures;    High-accuracy;    Incompressible liquids;    Nonlinear terms;    Van der Waals gas;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/754/3/032007/pdf
DOI  :  10.1088/1742-6596/754/3/032007

来源: IOP

【 摘 要 】

The waves in a bubbled incompressible liquid with Van der Waals gas in a bubbles being near critical points is considered in a frame of Gardner equation. It is shown that both coefficients on quadratic and cubic nonlinear terms in Gardner equation change the sign near gas critical point and it results the anomalous waves: negative and limited solitons, kinks, antikinks and breathers. The dynamics and interactions of these waves was studied numerically by high accuracy Fourier methods with periodically boundary conditions. In particular it is revealed that limited solitons always arise from initial distribution with a few identical soliton's pair and stand stable in their form after numerous interactions.