# A Finite Volume Moving Mesh Method for the Simulation of Compressible Flows

Shukla, Ratnesh K and Pathak, Harshavardhana S (2017) A Finite Volume Moving Mesh Method for the Simulation of Compressible Flows. In: 5th International and 41st National Conference on Fluid Mechanics and Fluid Power, DEC 12-14, 2014, Indian Inst Technol Kanpur, Kanpur, INDIA, pp. 279-287.

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Official URL: http://dx.doi.org/10.1007/978-81-322-2743-4_27

## Abstract

A finite volume adaptive mesh redistribution method for efficient and accurate simulation of one and two dimensional compressible Euler equations is developed. The method consists of two coupled steps; evolution of the governing equations using an adaptively redistributed mesh followed by a redistribution of the computational nodes. Mesh redistribution is accomplished through the solution of an elliptic equation which allows for determination of redistributed coordinates corresponding to the physical domain on a simplified computational domain, discretized using a uniform Cartesian grid. The governing hyperbolic compressible Euler equations, originally defined in the physical domain, are first transformed on to the simplified computational domain and then recast in a strong conservative form. These are then solved directly on the computational domain with the primary aim of maximizing accuracy while minimizing the computational overheads associated with the grid redistribution. The method is demonstrated on compressible Rayleigh-Taylorinstability in two dimensions.

Item Type: Conference Proceedings Lecture Notes in Mechanical Engineering SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS Copy right for this article belongs to the SPRINGER-VERLAG BERLIN, HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY Division of Mechanical Sciences > Mechanical Engineering 08 Mar 2017 09:29 08 Mar 2017 09:29 http://eprints.iisc.ac.in/id/eprint/56295