On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation
نویسندگان
چکیده
We use the energy method to study well-posedness of initial-boundary value problems approximated by overset mesh methods in one and two space dimensions for linear constant-coefficient hyperbolic systems. show that dimension, both scalar equations systems equations, problem where domain partially oversets another is well-posed when characteristic coupling conditions are used. If a system cannot be diagonalized, as usually case multiple dimensions, then does not give proper bounds terms initial boundary data. For those problems, we propose novel penalty approach. show, using global accounts overlap region domains, under well-defined on matrices penalized bounded, conservative, have solutions equivalent original single problem.
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2022
ISSN: ['1090-2716', '0021-9991']
DOI: https://doi.org/10.1016/j.jcp.2021.110732