An a posteriori, efficient, high-spectral resolution hybrid finite-difference method for compressible flows

Fernandez-Fidalgo Javier; Nogueira Xesus; Ramirez Luis; Colominas Ignasi

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An a posteriori, efficient, high-spectral resolution hybrid finite-difference method for compressible flows

机译：一种可压缩流的后验，高效，高光谱分辨率混合差分方法

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摘要

A high-order hybrid method consisting of a high-accurate explicit finite-difference scheme and a Weighted Essentially Non-Oscillatory (WENO) scheme is proposed in this article. Following this premise, two variants are outlined: a hybrid made up of a Finite Difference scheme and a compact WENO scheme (CRWENO 5), and a hybrid made up of a Finite Difference scheme and a non-compact WENO scheme (WENO 5). The main difference with respect to similar schemes is its a posteriori nature, based on the Multidimensional Optimal Order Detection (MOOD) method. To deal with complex geometries, a multi-block approach using Moving Least Squares (MLS) procedure for communication between meshes is used. The hybrid schemes are validated with several 1D and 2D test cases to illustrate their accuracy and shock- capturing properties. (C) 2018 Elsevier B.V. All rights reserved.

机译：本文提出了一种由高精度显式有限差分方案和加权本质非振荡（WENO）方案组成的高阶混合方法。在此前提下，概述了两个变体：由有限差分方案和紧凑型WENO方案组成的混合体（CRWENO 5），以及由有限差分方案和非紧凑型WENO方案组成的混合体（WENO 5）。基于多维最佳顺序检测（MOOD）方法，类似方案的主要区别在于其后验性。为了处理复杂的几何图形，使用了使用最小二乘（MLS）过程在网格之间进行通信的多块方法。通过几个一维和二维测试案例对混合方案进行了验证，以说明其准确性和捕捉震动的特性。（C）2018 Elsevier B.V.保留所有权利。

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《Computer Methods in Applied Mechanics and Engineering》 |2018年第15期|91-127|共37页
作者
Fernandez-Fidalgo Javier; Nogueira Xesus; Ramirez Luis; Colominas Ignasi;
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作者单位

Univ A Coruna, Grp Numer Methods Engn, Campus Elvina, La Coruna 15071, Spain;

Univ A Coruna, Grp Numer Methods Engn, Campus Elvina, La Coruna 15071, Spain;

Univ A Coruna, Grp Numer Methods Engn, Campus Elvina, La Coruna 15071, Spain;

Univ A Coruna, Grp Numer Methods Engn, Campus Elvina, La Coruna 15071, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
High-order schemes; Compressible flows; Overset grids; Finite differences;

机译：高阶方案;可压缩流;网格重叠;有限差分;

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1. Simulating compressible flows with shock waves using the finite-difference Lattice Boltzmann Method [J] . Ya-Ling He, Yong Wang, Qing Li, Progress in computational fluid dynamics . 2009,第3a5期

机译：使用有限差分格子Boltzmann方法用冲击波模拟可压缩流
2. Implicit-explicit finite-difference lattice boltzmann method for compressible flows [J] . Wang Y, He YL, Zhao TS, International Journal of Modern Physics, C. Physics and Computers . 2007,第12期

机译：可压缩流的隐式-显式有限差分格子boltzmann方法
3. Discontinuous Galerkin Methods for Compressible and Incompressible Flows on Space-Time Adaptive Meshes: Toward a Novel Family of Efficient Numerical Methods for Fluid Dynamics [J] . Fambri Francesco Archives of Computational Methods in Engineering . 2020,第1期

机译：时空自适应网格上可压缩和不可压缩流的不连续Galerkin方法：面向流体动力学的新型高效数值方法
4. High-Spectral Resolution PLIF Imaging of Compressible Flows and Plasmas [C] . Aizaz H. Bhuiyan, Sameer V. Naik, Robert P. Lucht, AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition . 2010

机译：可压缩流动和等离子体的高光谱分辨率PLIF成像
5. An efficient, semi-implicit pressure-based scheme employing a high-resolution finite element method for simulating transient and steady, inviscid and viscous, compressible flows on unstructured grids. [D] . Martineau, Richard Charles. 2002

机译：一个有效的，基于隐式压力的方案，该方案采用高分辨率有限元方法来模拟非结构化网格上的瞬态和稳态，不粘稠和可压缩的流动。
6. Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations [O] . Michael Feischl, Gregor Gantner, Dirk Praetorius -1

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7. An Efficient, Semi-implicit Pressure-based Scheme Employing a High-resolution Finitie Element Method for Simulating Transient and Steady, Inviscid and Viscous, Compressible Flows on Unstructured Grids [O] . Martineau, Richard C., Berry, Ray A. 2003

机译：一种高效，半隐式压力方案，采用高分辨率Finitie元素方法模拟非结构网格上的瞬态和稳定，无粘性，粘性，可压缩流动

An a posteriori, efficient, high-spectral resolution hybrid finite-difference method for compressible flows

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