@inproceedings{010c9fd5203044de826a29f68e5d25a8,
title = "A stable and conservative time-dependent interface formulation on summation-by-parts form: An initial investigation",
abstract = "A time-dependent coupling for curved multi-domain problems is considered. First, we transform the problem from Cartesian coordinates into curvilinear coordinates and apply the energy method to derive well-posed and conservative interface conditions. Next, we discretize the problem in space and time by employing finite difference operators that satisfy the summation-by-parts convention. The boundary and interface conditions are imposed weakly by using the simoultaneous approximation term technique as penalty formulations. The discrete version of the energy method is used to derive the stability and conservation requirements. We show how to formulate the penalty operators in such a way that the interface procedure is automatically adjusted to the movements and deformations of the interface, while stability requirements are fulfilled and conservation conditions are respected. Finally, we illustrate the developed techniques by considering an application with the Euler's equations posed on time-dependent curved multi-domains in two space dimensions. The numerical calculations corroborate stability and accuracy of the fully discrete approximation.",
keywords = "Conservation, Deforming domains, Multi-blocks, Stability, Summation-by-parts, Time-dependent interface",
author = "Samira Nikkar and Jan Nordstr{\"o}m",
year = "2016",
doi = "10.7712/100016.2307.4889",
language = "English",
series = "ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering",
publisher = "National Technical University of Athens",
pages = "6911--6927",
editor = "M. Papadrakakis and V. Plevris and G. Stefanou and V. Papadopoulos",
booktitle = "ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering",
address = "United States",
note = "7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 ; Conference date: 05-06-2016 Through 10-06-2016",
}