Normal mode analysis of 3D incompressible viscous fluid flow models

Abstract

In this paper, we study the normal mode solutions of 3D incompressible viscous fluid flow models. The obtained theoretical results are then applied to analyze several time-stepping schemes for the numerical solutions of the 3D incompressible fluid flow models.

COMMUNICATED BY:

• Junping Shi

Keywords:

• Normal mode analysis
• Navier–Stokes equation
• incompressible flow
• boundary condition
• splitting method
• semi-discretization

AMS Subject Classifications:

• 65N12
• 76Dxx
• 97N40
• 39A12

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This author's work is supported in part by the NIH BUILD grant (ASCEND pilot project) through UL1GM118973, NSF HBCU-UP Research Initiation Award through HRD-1700328 and NSF HBCU-UP Excellence in Research Award through DMS-1831950.