Chi-Wang Shu
Department of Mathematics, Brown University
Survey and Recent Development of WENO Schemes
Abstract
WENO (weighted essentially non-oscillatory) schemes are high order finite
difference and finite volume schemes for solving hyperbolic conservation
laws with discontinuous solutions. They are designed with nonlinear
weights aiming at maintaining both high order accuracy and non-oscillatory
shock transitions and are especially suitable for problems containing both
discontinuities and complex solution features, such as compressible turbulence
and instabilities.
In this talk I will first give a survey of WENO schemes, followed by a description
of a few recent developments, including the finite difference WENO schemes
on multiple domains (joint work with Kurt Sebastian) and resolution of high
order WENO schemes for complicated flow structures (joint work with Jing
Shi, Yongtao Zhang and Ye Zhou).
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