论文标题
Navier-Stokes方程的新的SAV压力校正方法：稳定性和错误分析
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
论文作者
论文摘要
我们使用标量辅助变量（SAV）方法为Navier-Stokes方程构建新的一阶压力校正方案。这些方案是线性的，分离的，并且只需要在每个时间步骤求解泊松类型方程。此外，它们是无条件的能量稳定的。我们还建立了一阶方案的速度和压力近似值的严格误差估计，而在时间步长上没有任何条件。
We construct new first- and second-order pressure correction schemes using the scalar auxiliary variable (SAV) approach for the Navier-Stokes equations. These schemes are linear, decoupled and only require a sequence of solving Poisson type equations at each time step. Furthermore, they are unconditionally energy stable. We also establish rigorous error estimates for the velocity and pressure approximation of the first-order scheme without any condition on the time step.
