One-Dimensional Convection Diffusion Equation Based on Operator Splitting

Authors

  • Qinghua Yao Office of Academic Affairs, Xuchang Vocational College of Ceramic, Xuchang 461100, China
  • Benhua Qiu Department of Basic Courses, Zhengzhou University of Science and Technology, Zhengzhou 450064, China
  • Lina Chu Department of Basic Education, Chongqing Creation Vocational College, Chongqing 402160, China

Abstract

Due to the phenomenon of numerical dispersion and oscillation used for solving one-dimensional convection diffusion equations, the accuracy of numerical simulation results is not high. Therefore, a method is proposed based on operator splitting for a one-dimensional convection diffusion equation. Using the operator splitting algorithm, the undetermined coefficient method is applied to the convection and diffusion steps, and dimensionless coefficients are introduced to minimize the numerical oscillation and numerical diffusion of the scheme. A new numerical solution scheme of one-dimensional convection diffusion equation is constructed by using the results of convection step calculation as the known value to solve the diffusion equation. The experimental results show that the proposed method can effectively control the numerical oscillation and numerical
diffusion, and has good convergence and stability, and high accuracy. It can effectively solve the one-dimensional convection diffusion equation, and has certain reference value.

Keywords: one-dimensional convection diffusion equation; solution; operator splitting; undetermined coefficient method

Cite As

Q. Yao, B. Qiu, L. Chu, "One-Dimensional Convection Diffusion Equation Based on Operator Splitting", Engineering Intelligent Systems, vol. 32 no. 6, pp. 579-586, 2024.






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Published

2024-11-01

Issue

Vol. 32 No. 6 (2024): International Journal of Engineering Intelligent Systems

Section

Article

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