Backward Difference Scheme for Simulating Unsteady Compressible Flow on Deforming Mesh in an Implicit Adaptive Solver

Saurya Ranjan Ray; Josef Ballmann

doi:10.4028/www.scientific.net/AMM.598.493

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 598Backward Difference Scheme for Simulating Unsteady...

Backward Difference Scheme for Simulating Unsteady Compressible Flow on Deforming Mesh in an Implicit Adaptive Solver

Abstract:

The paper describes the derivation of the numerical formulation of a second order time accurate and Geometrically Conservative Backward Difference Scheme (BDF) for transient flow simulation of Arbitrary Lagrangian Eulerian (ALE) problems using the control volume approach. The required modification to implement the scheme in an implicit adaptive flow solver is explained. The accuracy and robustness of the current formulation is demonstrated by simulating unsteady flow field over a sinusoidally pitching NACA0012 airfoil with larger allowable timestep in comparison to an existing Mid-point scheme.

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Periodical:

Applied Mechanics and Materials (Volume 598)

Pages:

493-497

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.598.493

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Online since:

July 2014

Authors:

Saurya Ranjan Ray*, Josef Ballmann

Keywords:

ALE Formulation, Backward Difference Scheme, Geometric Conservation Law, Grid Adaptation, Implicit Method, Moving Grid

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References

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