Method of moving frames to solve the shallow water equations on arbitrary rotating curved surfaces

A novel numerical scheme is proposed to solve the shallow water equations (SWEs) on arbitrary rotating curved surfaces. Based on the method of moving frames (MMF) in which the geometry is represented by orthonormal vectors, the proposed scheme not only has the fewest dimensionality both in space and...

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Veröffentlicht in:	Journal of computational physics 2017-03, Vol.333, p.1-23
Hauptverfasser:	Chun, S., Eskilsson, C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational physics Curved surface Discontinuous Galerkin method Finite element analysis Frames Galerkin method High-order finite elements Mathematical analysis Mathematical functions Mathematical models Moving frames Numerical analysis Polynomials Rotation Runge-Kutta method Shallow water equations Spherical geometry Surface stability Tensors
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