A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers’ and Navier-Stokes Equations in Polar Cylindrical Coordinates

DOI10.4208/NMTMA.OA-2020-0053zbMath1488.65269OpenAlexW3121221998WikidataQ115481438 ScholiaQ115481438MaRDI QIDQ5017512

Ranjan Kumar Mohanty, Divya Sharma, Yu'an Li

Publication date: 17 December 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2020-0053

zbMATH Keywords

Navier-Stokes equations Burgers' equation half-step discretization two-level implicit scheme compact scheme in exponential form Taylor-vortex problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) General aerodynamics and subsonic flows (76G25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Direct numerical and large eddy simulation of turbulence (76F65) Hydro- and aero-acoustics (76Q05) Finite difference methods for boundary value problems involving PDEs (65N06)

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