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Moving Shock Interacting with Cylindrical Water Columns and a Nozzle Flow Field: rGFM and Level-Set Method
DING Shengrong, XU Shengli, LU Jianfang, ZHANG Mengping
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2019, 36 (2): 165-174.   DOI: 10.19596/j.cnki.1001-246x.7842
Abstract350)   HTML1)    PDF (13394KB)(1142)      
Flow field induced by a moving shock interacted with cylindrical water columns and a nozzle flow field was numerically investigated. Fixed Cartesian grids are used and level-set method combined with revised real ghost fluid method (rGFM) is applied for tracking gas-water and gas-solid interfaces. Fifth order WENO schemes are employed for solving Eulerian and level-set equations as well as reinitialization equations. Nozzle contours are simplified as gas-solid interface, and nozzle contour profiles are expressed by splines for ease of obtaining normal vector. In the case of shock interacting with water columns, schlieren images and pressure time histories at specified points are shown to describe shock evolution and mitigation downstream. It indicates that complex shock structures are distinguished accurately by the method, and shock transmission and reflection occur on gas-water interfaces of neighboring columns in a row and in a column respectively. In addition, pressure, density contours and velocity of nozzle flow field is in agreement with inviscid solution by gas dynamics theory, which demonstrates effectiveness and robustness of level-set method coupling with rGFM for computing flow field in a complex geometry involving gas-water and gas-solid interfaces.
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Numerical Simulation of Planar Moving Shock Interacting with a Single Row of Water Columns and Multi-material Interfaces
ZHAO Qi, ZHANG Mengping, XU Shengli, LU Jianfang
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2018, 35 (3): 285-293.   DOI: 10.19596/j.cnki.1001-246x.7635
Abstract373)   HTML2)    PDF (4891KB)(1110)      
A moving planar shock interacting with multi-material interfaces in compressible fluid on fixed Descartes grids is studied. Level-set method combined with a revised real ghost fluid method(rGFM) are applied for tracking gas-water and gas-solid interfaces, where a revised Riemann problem is constructed and its approximate solutions are populated for real and ghost fluid status. WENO schemes are employed for Euler and level-set equations. Numerical schlieren images are obtained for demonstrating shock evolution. Complex shock structures distinguish accurately and show various interfaces embedded in the fluid. Other than partition and coordinate transformation, we offer an approach for computation of complex flow field on Descartes grids involving multi-material interfaces or objects.
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