Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving systems. Part II: Nonreflecting boundary conditions
نویسندگان
چکیده
Stability analysis of the numerical Method of characteristics applied to energy-preserving systems. Abstract We show that imposition of non-periodic, in place of periodic, boundary conditions (BC) can alter stability of modes in the Method of characteristics (MoC) employing certain ordinary-differential equation (ODE) numerical solvers. Thus, using non-periodic BC may render some of the MoC schemes stable for most practical computations, even though they are unstable for periodic BC. We explain how this fact is related to a statement, found in some literature, that an instability detected by the von Neumann analysis for a given numerical scheme implies an instability of that scheme with arbitrary (i.e., non-periodic) BC. We also show that, and explain why, for the MoC employing some other ODE solvers, stability of the modes may be unaffected by the BC.periodic boundary conditions.
منابع مشابه
Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving systems. Part I: Periodic boundary conditions
Stability analysis of the numerical Method of characteristics applied to energy-preserving systems. Abstract We study numerical (in)stability of the Method of characteristics (MoC) applied to a system of non-dissipative hyperbolic partial differential equations (PDEs) with periodic boundary conditions. We consider three different solvers along the characteristics: simple Euler (SE), modified Eu...
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