A higher order implicit stair-tailored scheme for the modified Burgers’ equation

IF 1.9 3区工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY

Annals of Nuclear Energy Pub Date : 2025-03-07 DOI:10.1016/j.anucene.2025.111284

V.P. Shyaman, A. Sreelakshmi, Ashish Awasthi

引用次数: 0

Abstract

In the quest of constructing a user-friendly handy algorithm for the numerical solutions of the modified Burgers’ equation, an adaptive finite point method is carefully orchestrated with no compromise on precision. The proposed algorithm has been designed so as the localized behavior of the analytic solutions is innately inherited to the numerical solutions. The original equation first undergoes a linearization post which the algorithm revolves around an implicit 4-point stair-shaped framework. Within this structure, the solution of the linearized equation at each node in the advanced temporal level is expressed as the linear combination of the nodal solutions at the current and previous temporal levels. Apart from being conditionally stable, consistent, converging, and rapid the method above and beyond replicates the exact solutions on coarse meshes even when the kinematic viscosity close in to zero.

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来源期刊

Annals of Nuclear Energy 工程技术-核科学技术

CiteScore

4.30

自引率

21.10%

发文量

632

审稿时长

7.3 months

期刊介绍： Annals of Nuclear Energy provides an international medium for the communication of original research, ideas and developments in all areas of the field of nuclear energy science and technology. Its scope embraces nuclear fuel reserves, fuel cycles and cost, materials, processing, system and component technology (fission only), design and optimization, direct conversion of nuclear energy sources, environmental control, reactor physics, heat transfer and fluid dynamics, structural analysis, fuel management, future developments, nuclear fuel and safety, nuclear aerosol, neutron physics, computer technology (both software and hardware), risk assessment, radioactive waste disposal and reactor thermal hydraulics. Papers submitted to Annals need to demonstrate a clear link to nuclear power generation/nuclear engineering. Papers which deal with pure nuclear physics, pure health physics, imaging, or attenuation and shielding properties of concretes and various geological materials are not within the scope of the journal. Also, papers that deal with policy or economics are not within the scope of the journal.