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Techniques to Improve Application of Smooth Particle Hydrodynamics in Incompressible Flows

Boregowda, Parikshit
http://orcid.org/0000-0002-8183-006X
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1563527410355176

Abstract Details

2019, MS, University of Cincinnati, Engineering and Applied Science: Mechanical Engineering.
In this investigation, incompressible flow is analyzed using Smooth Particle Hydrodynamics (SPH). SPH is meshfree and offers various advantages over mesh-based methods. SPH has been applied to a mixed boundary problem- a pipe break problem involving flow boundary and a free surface. This combination of boundaries has not been previously analyzed in the literature. The pipe break problem is analyzed as a 2-D problem, and for simplicity is modeled as two infinitely long plates with a hole on one side. The problem is first simulated using a Weakly Compressible SPH (WCSPH) model since WCSPH is easy to implement and has been effectively applied to incompressible flows previously. However, the conventional WCSPH method failed to model the 2D pipe break problem successfully due to its poor ability to handle pressure variations. An Incompressible SPH (ISPH) based on the projection scheme, considering the flow as completely incompressible, is then used for the analysis of the pipe break problem. This projection scheme demands a numerical Neumann boundary condition on pressure, which leads to errors in all numerical methods. One way to solve this issue is to model the ISPH boundary to handle non-homogeneous pressure. Current ISPH boundaries, especially corners, are modelled to handle homogeneous pressure. Hence, a new corner boundary particle modeling technique is introduced here which can handle non-homogeneous pressure. The boundary modeling technique used is that of edge and dummy particles, which is computationally cheap. Pressure fluctuation in confined flow is studied in detail, and do’s and dont’s while modeling for pressure results are highlighted. ISPH is then extended to a dam collapse problem, which is a free surface problem. Tensile instability is solved by using the popular particle shifting scheme of ISPH. The particle shifting scheme is modified and applied to the free surface, without having to draw normal and tangents. This makes modeling not only computationally cheap but slightly more reliable since obtaining normal and tangents accurately in SPH is still being investigated by researchers. Finally, flow boundary particles are proposed, which is applied to both WCSPH and ISPH. Flow particles are modeled as edge particles that move, with a similar relation to dummy particles as that of edge particles. Flow particles are also modelled to handle non-zero Neumann Pressure boundary by making use of ghost particles inside the flow regime related to the flow particles. Both homogeneous and non-homogeneous pressure boundaries at the flow inlet and exit have been analyzed in a plane Poiseuille flow problem. After successfully validating ISPH to various boundary conditions, namely confined flow, free surface flow, and inflow-outflow, the numerical technique is then extended to 2D pipe break problem.
Gui-Rong Liu, Ph.D. (Committee Chair)
Milind Jog, Ph.D. (Committee Member)
Kumar Vemaganti, Ph.D. (Committee Member)
101 p.
Mechanical Engineering
Incompressible Smooth Particle Hydrodynamics; Pipe break; Flow boundary conditions in SPH; Free surface particle shifting; corner particle modelling in SPH; Mixed boundary in SPH

Recommended Citations

Citations

  • Boregowda, P. (2019). Techniques to Improve Application of Smooth Particle Hydrodynamics in Incompressible Flows [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1563527410355176

    APA Style (7th edition)

  • Boregowda, Parikshit. Techniques to Improve Application of Smooth Particle Hydrodynamics in Incompressible Flows. 2019. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1563527410355176.

    MLA Style (8th edition)

  • Boregowda, Parikshit. "Techniques to Improve Application of Smooth Particle Hydrodynamics in Incompressible Flows." Master's thesis, University of Cincinnati, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1563527410355176

    Chicago Manual of Style (17th edition)

ucin1563527410355176
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© 2019, some rights reserved.Creative Commons License Techniques to Improve Application of Smooth Particle Hydrodynamics in Incompressible Flows by Parikshit Boregowda is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by University of Cincinnati and OhioLINK.