Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jcp.2008.03.037
Title: An object-oriented and quadrilateral-mesh based solution adaptive algorithm for compressible multi-fluid flows
Authors: Zheng, H.W. 
Shu, C. 
Chew, Y.T. 
Keywords: Adaptive mesh refinement
Compressible multi-fluid
Finite volume
HLLC
Quadrilateral
Issue Date: 1-Jul-2008
Source: Zheng, H.W., Shu, C., Chew, Y.T. (2008-07-01). An object-oriented and quadrilateral-mesh based solution adaptive algorithm for compressible multi-fluid flows. Journal of Computational Physics 227 (14) : 6895-6921. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcp.2008.03.037
Abstract: In this paper, an object-oriented and quadrilateral-mesh based solution adaptive algorithm for the simulation of compressible multi-fluid flows is presented. The HLLC scheme (Harten, Lax and van Leer approximate Riemann solver with the Contact wave restored) is extended to adaptively solve the compressible multi-fluid flows under complex geometry on unstructured mesh. It is also extended to the second-order of accuracy by using MUSCL extrapolation. The node, edge and cell are arranged in such an object-oriented manner that each of them inherits from a basic object. A home-made double link list is designed to manage these objects so that the inserting of new objects and removing of the existing objects (nodes, edges and cells) are independent of the number of objects and only of the complexity of O(1). In addition, the cells with different levels are further stored in different lists. This avoids the recursive calculation of solution of mother (non-leaf) cells. Thus, high efficiency is obtained due to these features. Besides, as compared to other cell-edge adaptive methods, the separation of nodes would reduce the memory requirement of redundant nodes, especially in the cases where the level number is large or the space dimension is three. Five two-dimensional examples are used to examine its performance. These examples include vortex evolution problem, interface only problem under structured mesh and unstructured mesh, bubble explosion under the water, bubble-shock interaction, and shock-interface interaction inside the cylindrical vessel. Numerical results indicate that there is no oscillation of pressure and velocity across the interface and it is feasible to apply it to solve compressible multi-fluid flows with large density ratio (1000) and strong shock wave (the pressure ratio is 10,000) interaction with the interface. © 2008 Elsevier Inc. All rights reserved.
Source Title: Journal of Computational Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/59501
ISSN: 00219991
DOI: 10.1016/j.jcp.2008.03.037
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