题目：Highly Accurate and Efficient Schemes for Nonlinear Dissipative Systems with Particular Application to Navier-Stokes Equations

姓名：沈捷 教授 （普渡大学）

时间：2023年3月30日 上午 10：00-11：00

地点：宁静楼115室

摘要：I will present some recent advances on using the generalized scalar auxiliary variable (GSAV) approach  to develop highly efficient and accurate  schemes for a large class of nonlinear dissipative  systems. These schemes are easy to implement, can be high-order in time, and lead to a uniformly bound  for the numerical solution in a suitable norm that  plays an essential role in corresponding error analysis.  It can also be positivity/bound preserving through a function transform.

We combine this GSAV approach with a new consistent splitting scheme for the Navier-Stokes equations, and obtain, for the first time, a strongly unconditional stable, decoupled schemes with uniform second- or higher-order  accuracy  for the velocity and pressure.

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