简介: |
Title: High-order schemes for conservation laws with a simple weighted essentially non-oscillatory (WENO) limiter
Speaker: Jie Du, CUHK
Time: 10:15am, Mar. 31 (Friday), Lecture Room 3, Floor 2, Jin Chun Yuan West Building
Abstract:
In this talk, we aim to solve conservation laws on two-dimensional unstructured triangular meshes by using the correction procedure via reconstruction (CPR) framework. This numerical scheme may generate spurious oscillations for problems containing strong discontinuities. Hence, we adapt a simple weighted essentially non-oscillatory (WENO) limiter to the CPR framework. The objective of this simple WENO limiter is to simultaneously maintain uniform high order accuracy of the original scheme in smooth regions and control spurious numerical oscillations near discontinuities. The WENO limiter we adopt uses information only from the target cell and its immediate neighbors. Hence, it is particularly simple to implement and will not harm the conservativeness and compactness of the original scheme.
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