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Abedian, Rooholah. (1401). A third-order weighted essentially non-oscillatory-flux limiter scheme for two-dimensional incompressible Navier-Stokes equations. سامانه مدیریت نشریات علمی, 11(1), 1-11. doi: 10.22034/cmde.2022.48228.2014
Rooholah Abedian. "A third-order weighted essentially non-oscillatory-flux limiter scheme for two-dimensional incompressible Navier-Stokes equations". سامانه مدیریت نشریات علمی, 11, 1, 1401, 1-11. doi: 10.22034/cmde.2022.48228.2014
Abedian, Rooholah. (1401). 'A third-order weighted essentially non-oscillatory-flux limiter scheme for two-dimensional incompressible Navier-Stokes equations', سامانه مدیریت نشریات علمی, 11(1), pp. 1-11. doi: 10.22034/cmde.2022.48228.2014
Abedian, Rooholah. A third-order weighted essentially non-oscillatory-flux limiter scheme for two-dimensional incompressible Navier-Stokes equations. سامانه مدیریت نشریات علمی, 1401; 11(1): 1-11. doi: 10.22034/cmde.2022.48228.2014

A third-order weighted essentially non-oscillatory-flux limiter scheme for two-dimensional incompressible Navier-Stokes equations

Computational Methods for Differential Equations
مقاله 1، دوره 11، شماره 1، فروردین 2023، صفحه 1-11    اصل مقاله (3.48 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.48228.2014
نویسنده
Rooholah Abedian*
School of Engineering Science, College of Engineering, University of Tehran, Iran.
چکیده
In this paper, the 2D incompressible Navier-Stokes (INS) equations in terms of vorticity and stream function are considered. These equations describe the physics of many phenomena of scientific and engineering. By combining monotone upwind methods and weighted essentially non-oscillatory (WENO) procedures, a new numerical algorithm is proposed to approximate the solution of INS equations. To design this algorithm, after obtaining an optimal polynomial, it is rewritten as a convex combination of second-order modified ENO polynomials. Following the methodology of the traditional WENO procedure, the new non-linear weights are calculated. The performance of the new scheme on a number of numerical examples is illustrated.
کلیدواژه‌ها
Navier-Stokes equation؛ WENO؛ UNO limiter
مراجع
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