A research study on unsteady state convection diffusion flow with adoption of the finite volume technique

• Autorzy: Patel Manoj R. , Pandya Jigisha U.

Identyfikatory

DOI

10.17512/jamcm.2021.4.06

• Języki publikacji: EN

Abstrakty

EN

This research paper is an attempt to solve the unsteady state convection diffusion one dimension equation. It focuses on the fully implicit hybrid differencing numerical finite volume technique as well as the fully implicit central differencing numerical finite volume technique. The simulation of the unsteady state convection diffusion problem with a known actual solution is also used to validate both the techniques, respectively, the fully implicite hybrid differencing numerical finite volume technique as well as the fully implicit central differencing numerical finite volume technique by giving a particular example and solving it using the appropriate, particular technique. It is observed that the numerical scheme is an outstanding deal with the exact solution. Numerical results and graphs are presented for different Peclet numbers.

Słowa kluczowe

EN

convection-diffusion equation; partial differential equations; boundary value problems; finite volume technique; finite difference technique

PL

równanie konwekcji-dyfuzji; równanie różniczkowe cząstkowe; zagadnienia brzegowe; technika objętości skończonych; technika różnic skończonych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2021
• Tom: Vol. 20, nr 4
• Strony: 65--76
• Opis fizyczny: Bibliogr. 20 poz., rys., tab.

Twórcy

autor

Patel Manoj R.

• Department of Mathematics, LDRP Institute of Technology and Research Kadi Sarva Vishwavidyalaya, Gandhinagar Gujarat, India
• Gujarat Technological University, Ahemadabad Gujarat, India

autor

Pandya Jigisha U.

• Department of Mathematics, Sarvajanik College of Engineering and Technology, Surat Gujarat, India

Bibliografia

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