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• W2119724134 abstract "A time-dependent coordinate transformation of a constant coefficient hyperbolic system of equations which results in a variable coefficient system of equations is considered. By applying the energy method, well-posed boundary conditions for the continuous problem are derived. Summation-by-Parts (SBP) operators for the space and time discretization, together with a weak imposition of boundary and initial conditions using Simultaneously Approximation Terms (SATs) lead to a provable fully-discrete energy-stable conservative finite difference scheme. We show how to construct a time-dependent SAT formulation that automatically imposes boundary conditions, when and where they are required. We also prove that a uniform flow field is preserved, i.e. the Numerical Geometric Conservation Law (NGCL) holds automatically by using SBP-SAT in time and space. The developed technique is illustrated by considering an application using the linearized Euler equations: the sound generated by moving boundaries. Numerical calculations corroborate the stability and accuracy of the new fully discrete approximations." @default.
• W2119724134 created "2016-06-24" @default.
• W2119724134 creator A5031000991 @default.
• W2119724134 creator A5057106073 @default.
• W2119724134 date "2015-06-01" @default.
• W2119724134 modified "2023-09-27" @default.
• W2119724134 title "Fully discrete energy stable high order finite difference methods for hyperbolic problems in deforming domains" @default.
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• W2119724134 doi "https://doi.org/10.1016/j.jcp.2015.02.027" @default.
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