Central-Upwind Schemes for the Boussinesq Paradigm Equations
نویسندگان
چکیده
We develop a new accurate and robust numerical method for the Boussinesq paradigm equation (BPE). To design the method we first introduce a change of variables, for which the BPE takes the form of a nonlinear wave equation with the global pressure, and rewrite the wave equation as a system of conservation laws with a global flux. We then apply a Godunov-type central-upwind scheme together with an efficient FFT-based elliptic solver to the resulting system. Making use of the new scheme, we investigate the propagation of oneand two-dimensional solitary waves of BPE and identify their solitonic behavior.
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