Unsteady aerodynamic calculations using three-dimensional Euler equations on unstructured dynamic grids

IF 1.4 4区工程技术 Q2 ENGINEERING, AEROSPACE

Aeronautical Journal Pub Date : 2002-05-01 DOI:10.1017/S0001924000013105

K. P. Sinhamahapatr

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引用次数: 2

Abstract

Abstract This paper presents an algorithm to solve the three-dimensional unsteady Euler equations on unstructured tetrahedral meshes using a dynamic mesh algorithm. The driving algorithm is an upwind biased implicit second order accurate cell-centered finite volume scheme. The spatial discretisation technique involves a naturally dissipative flux-split approach that accounts for the local wave propagation characteristics of the flow and captures shock waves sharply. A continuously differentiable flux limiter has been employed to eliminate the spurious oscillations near shock waves, generally arising in calculations involving upwind biased schemes. The temporal discretisation is also second order accurate and uses a Newton linearisation for unsteady calculations. To calculate time dependent flows a dynamic mesh algorithm has been implemented in which the mesh is moved to conform to the instantaneous position of the body by modelling each edge of each cell by a spring. The paper presents a description of the solver and the grid movement algorithm along with results and comparison that assess their capabilities.

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非结构动力网格三维欧拉方程非定常气动计算

摘要提出了一种用动态网格法求解非结构化四面体网格三维非定常欧拉方程的算法。驱动算法是一种迎风偏置隐式二阶精确胞心有限体积格式。空间离散技术涉及一种自然耗散的通量分裂方法，该方法考虑了流动的局部波传播特性，并迅速捕获激波。采用连续可微通量限制器来消除激波附近的杂散振荡，这种振荡通常出现在涉及逆风偏置格式的计算中。时间离散化也是二阶精度，并使用牛顿线性化非定常计算。为了计算时间相关流，实现了一种动态网格算法，该算法通过弹簧对每个单元的每个边缘进行建模，使网格移动以符合身体的瞬时位置。本文介绍了求解器和网格移动算法的描述，并给出了评估其性能的结果和比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Aeronautical Journal 工程技术-工程：宇航

CiteScore

3.70

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The Aeronautical Journal contains original papers on all aspects of research, design and development, construction and operation of aircraft and space vehicles. Papers are therefore solicited on all aspects of research, design and development, construction and operation of aircraft and space vehicles. Papers are also welcomed which review, comprehensively, the results of recent research developments in any of the above topics.