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On the Validation of a Global Preconditioner for the Euler Equations

Authors: Battelgazi Yildirim; Pasquale Cinnella;

On the Validation of a Global Preconditioner for the Euler Equations

Abstract

A recently introduced global preconditioning technique is validated for the Euler equations. Energy and enthalpy equations are nondimensionalized by means of a reference enthalpy, resulting in increased numerical accuracy for low-speed flows. A cell-based, finite volume formulation is used, with flux dierence splitting and both explicit and implicit time integration schemes. A Newton-linearized iterative implicit algorithm is implemented, with Symmetric Gauss-Seidel(LU/SGS) nested sub-iterations. This choice eliminates approximate factorization errors, which become dominant at low speed flows. The linearized Jacobians are evaluated by numerical dierentiation. Higher-order discretization are constructed by means of the MUSCL approach. Locally one-dimensional Characteristic Variable Boundary Conditions are implemented at the farfield boundary. The preconditioned scheme is successfully applied to the following traditional test cases used as benchmarks for local preconditioning techniques: point disturbance, flow angle disturbance, and stagnation point arising from the impingement of two identical jets. The flow over a symmetric airfoil and a convergent-divergent nozzle are then simulated for arbitrary Mach numbers. The preconditioned scheme greatly enhances accuracy and convergence rate for low-speed flows (all the way down to M 10E 4). Some preliminary tests of fully unsteady flows are also conducted.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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