We derive entropy conserving and entropy dissipative overlapping domain formulations for systems of nonlinear hyperbolic equations in conservation form, such as would be approximated by overset mesh methods. The entropy conserving formulation imposes two-way coupling at the artificial interface boundaries through nonlinear penalty functions that vanish when the solutions coincide. The penalty functions are expressed in terms of entropy conserving fluxes originally introduced for finite volume schemes. Entropy dissipation and additional coupling in the overlap region are added through the use of linear penalties.

翻译：我们获得非线性双曲方程式系统在养护形式的酶养护和酶消散重叠域配方,例如以高置网状法为近似; 酶养护配方规定通过非线性惩罚功能在人工界面边界上双向连接,这些功能在解决办法一致时消失; 惩罚功能表现为最初为有限体积计划引入的酶养护通量; 通过使用线性惩罚,在重叠区域添加酶消散和额外连接。