Stable time-domain LEE simulations
Summary
Linearized Euler equations (LEE) are often used in a CAA simulation, with a strong mean-velocity gradient, numerical Kelvin-Helmholtz (K-H) instabilities may appear using the LEE. Vortical instabilities can grow exponentially and contaminate the solution.
To developing new instability suppression methods and compare the accuracy and computation cost of the proposed methods with previous methods.
In this case, a time-harmonic
acoustic wave propagates across a 2-
D domain, and the sound is
refracted across a finite shear layer.
The solution field obtained the
LEE is clearly contaminated by the
numerical instability, while the
proposed ADT method can an
untouched acoustic filed.
In this case, a time-harmonic
acoustic wave propagates across a 2-
D domain, and the sound is refracted
across a finite shear layer.
Comparing with the LEE solution,
where the K-H instabilities appears
and large spurious wave can be
observed, the proposed method can
provide uncontaminated results in
acoustics near field and far field.
Reference
Mr. Yuhao Sun is supported by a PhD fellowship from the Hong Kong
University of Science and Technology. Part of the study was supported by
the Hong Kong Research Grants Council (Ref. 16204715).