An improved alternative weighted essentially non-oscillatory scheme for conservation laws

IF 0.6 4区 工程技术 Q4 MECHANICS
Uttam Singh Rajput, Krishna Mohan Singh
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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.
守恒律的一种改进的可选加权本质非振荡格式
本文针对非线性双曲型守恒律,提出了一种改进的五阶加权基本非振荡格式。我们提出了一种改进的五阶平滑指标来设计本方案。此外,数值通量评估是基于原始变量的重建,而不是基于保守变量。采用三阶TVD龙格-库塔法对解进行时间推进。对各种一维、二维和三维测试用例进行了计算。数值结果与精确解和其他高分辨率格式的结果进行了比较。该方案以更高的分辨率解析精细尺度结构。此外,该方法计算效率高,产生的杂散振荡较少,并且在三维泰勒-格林涡情况下表现出较好的动能守恒性。
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来源期刊
CiteScore
1.50
自引率
14.30%
发文量
33
审稿时长
7.5 months
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
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