Numerical observations of dynamic behavior in two-dimensional compressible convection

Mathematics

Scientific paper

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Atmospheric Models, Compressible Flow, Convective Heat Transfer, Dynamic Models, Numerical Flow Visualization, Two Dimensional Flow, Atmospheric Circulation, Boussinesq Approximation, Branching (Mathematics), Parameter Identification, Partial Differential Equations, Periodic Variations

Scientific paper

Using numerical simulations of the anelastic partial differential equations, convective flow in a two-dimensional polytropic atmosphere is investigated. Fixing the aspect ratio at unity and choosing the viscosity as the order parameter, the numerical solutions have indicated a variety of dynamic behavior including (1) oscillatory motion with a period of order the eddy turnover time, (2) quasi-periodic motion with a long period much longer than an eddy turnover time, and (3) at least two branches of solutions in certain regimes.

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