Scholarlink

<p>In this paper, we propose a novel algorithm that combines the first-order pressure correction projection method with a time filtering technique (PC-TF) to solve the incompressible magnetohydrodynamic equations. This novel algorithm comprises two steps: the first step involves applying the first-order pressure correction scheme at each time step to solve for velocity, magnetic field, and pressure; the second step entails applying time filters to the velocity and magnetic field. This algorithm efficiently elevates the temporal accuracy of both the velocity and magnetic field from first-order to second-order without incurring additional computational complexity. In addition, it also facilitates the construction of a novel adaptive stepsize algorithm, namely the PC-AS algorithm, which offers an estimation of the temporal error without additional complexity. We prove that the PC-TF algorithm is unconditionally stable and derive rigorous error estimates for the velocity and magnetic field without any conditions on the time step. Numerical examples are presented to validate the proposed schemes.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A Novel Second-Order Filtered Pressure Correction Method For Magnetohydrodynamic Equations

  • 期刊论文

  • 发表日期：

    2025年5月16日

查看全文
  • Weilong Wang,
  • Jilian Wu,
  • Ning Li

摘要

In this paper, we propose a novel algorithm that combines the first-order pressure correction projection method with a time filtering technique (PC-TF) to solve the incompressible magnetohydrodynamic equations. This novel algorithm comprises two steps: the first step involves applying the first-order pressure correction scheme at each time step to solve for velocity, magnetic field, and pressure; the second step entails applying time filters to the velocity and magnetic field. This algorithm efficiently elevates the temporal accuracy of both the velocity and magnetic field from first-order to second-order without incurring additional computational complexity. In addition, it also facilitates the construction of a novel adaptive stepsize algorithm, namely the PC-AS algorithm, which offers an estimation of the temporal error without additional complexity. We prove that the PC-TF algorithm is unconditionally stable and derive rigorous error estimates for the velocity and magnetic field without any conditions on the time step. Numerical examples are presented to validate the proposed schemes.