{"title":"An improved alternative weighted essentially non-oscillatory scheme for conservation laws","authors":"Uttam Singh Rajput, Krishna Mohan Singh","doi":"10.1504/pcfd.2023.134205","DOIUrl":null,"url":null,"abstract":"In the present study, a fifth-order improved alternative weighted essentially non-oscillatory scheme has been developed for nonlinear hyperbolic conservation laws. We have proposed an improved fifth-order smoothness indicator to design the present scheme. Further, the numerical flux evaluation is based on the reconstruction of primitive variables rather than conservative variables. The third-order TVD Runge-Kutta method has been used for the time advancement of the solution. The computations have been performed for various one, two, and three-dimensional test cases. Numerical results are compared with the exact solution and results with other high-resolution schemes. The proposed scheme resolves the fine-scale structure with a higher resolution. Further, it is computationally efficient, produces less spurious oscillations, and shows better conservation of kinetic energy for 3D Taylor-Green vortex case.","PeriodicalId":54552,"journal":{"name":"Progress in Computational Fluid Dynamics","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress in Computational Fluid Dynamics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/pcfd.2023.134205","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
In the present study, a fifth-order improved alternative weighted essentially non-oscillatory scheme has been developed for nonlinear hyperbolic conservation laws. We have proposed an improved fifth-order smoothness indicator to design the present scheme. Further, the numerical flux evaluation is based on the reconstruction of primitive variables rather than conservative variables. The third-order TVD Runge-Kutta method has been used for the time advancement of the solution. The computations have been performed for various one, two, and three-dimensional test cases. Numerical results are compared with the exact solution and results with other high-resolution schemes. The proposed scheme resolves the fine-scale structure with a higher resolution. Further, it is computationally efficient, produces less spurious oscillations, and shows better conservation of kinetic energy for 3D Taylor-Green vortex case.
期刊介绍:
CFD is now considered an indispensable analysis/design tool in an ever-increasing range of industrial applications. Practical flow problems are often so complex that a high level of ingenuity is required. Thus, besides the development work in CFD, innovative CFD applications are also encouraged. PCFD''s ultimate goal is to provide a common platform for model/software developers and users by balanced international/interdisciplinary contributions, disseminating information relating to development/refinement of mathematical and numerical models, software tools and their innovative applications in CFD.
Topics covered include:
-Turbulence-
Two-phase flows-
Heat transfer-
Chemical reactions and combustion-
Acoustics-
Unsteady flows-
Free-surfaces-
Fluid-solid interaction-
Navier-Stokes solution techniques for incompressible and compressible flows-
Discretisation methods and schemes-
Convergence acceleration procedures-
Grid generation and adaptation techniques-
Mesh-free methods-
Distributed computing-
Other relevant topics