Simulating rigid body motion in incompressible two phase flow for applications in energy harvesting

ORAL

Abstract

Computational treatment of floating solids, in the presence of free surfaces and/or breaking waves, poses several modeling challenges. A motivating example where these systems are of interest is found in offshore wave energy harvesting systems, where a floating structure converts mechanical oscillations to electrical energy. In this work, we take the first steps in developing a robust computational strategy for treating rigid bodies with possible internal dynamics, such that they may be fully coupled to a fluid environment with free surfaces and arbitrarily large fluid motion. Our technique solves Lagrangian type rigid body equations coupled with the Eulerian formulation of the Navier Stokes equations for an immersed solid. This technique represents a subtle departure from standard methods, which solve the equations of motion completely on the Eulerian grid, and therefore facilitates the integration of internal components. To demonstrate this ability, simple rotational and translational components have been implemented with promising results.

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Authors

  • Curtis Lee

    Texas Lutheran University

  • Andrey Chabanov

    West Texas A\&M University, Rhodes College, Texas Woman's University, University of Texas at San Antonio, Texas A\&M University, Department of Physics, University of Texas at Arlington, Texas State University, Pajarito Scientific Corporation, Idaho National Laboratory, Duke University, UNC, Department of Chemistry, UTSA, Department of Physics and Astronomy, UTSA, The University of Texas at San Antonio, Harvar-Smithsonian Center for Astrophysics, University of New Mexico, Maria Mitchel Observatory, NRAO, University of Alabama, Trinity University, Department of Physics and Astronomy, University of Texas at San Antonio, San Antonio, Texas 78249, V. Alecsandri College, Bacau, Romania, University of Texas at Dallas, Argonne National Laboratory, Western Michigan University, Institute of Physics, UNAM, Mexico, University of North Texas - Chemistry, University of St. Thomas, SwRI San Antonio, Alan G. MacDiarmid NanoTech Institute, University of Texas at Dallas, Department of Electrical and Computer Engineering, University of Texas at Arlington, Department of Physics, University of Texas at Brownsville, SciPrint.org, The University of Texas at Austin, Georgia Tech, MIT, University of Tennessee, University of Michigan, ORNL, Texas A&M University-Commerce, University of Texas San Antonio, University of Texas at Brownsville, University of Dallas, Sternberg Astronomical Institute, SwRI, CU-Boulder, SwRI/UTSA, Southwest Research Institute, JILA, University of Colorado, Department of Physics, Texas A\&M University, Stephen F. Austin State University, Angelo State University, St. Mary's University, Physics Department, University of South Florida, CINVESTAV, Queretaro, Mexico, Department of Physics, UCSD, LANSCE, Los Alamos National Laboratory, Department of Physics and Astronomy, Texas A\&M University, Texas A\&M University: Department of Physics, Texas Christian University, Fort Worth, TX, Paschal High School, Fort Worth, TX, Tarleton State University, Stephenville, TX, Paine College, Augusta, GA, University of Houston, University of Texas at Arlington, IREAP, Department of Physics, University of Maryland, Air Force Research Laboratory, Institute for Quantum Studies and Department of Physics, Texas A\&M Universtity, College Station, Texas 77843, USA, Max-Planck Institut for Kernphysik, Saupfercheckweg 1,D-69117 Heidelberg, Germany, The National Center for Mathematics and Physics, P.O. Box 6086, KACST, Riyadh 11442, Saudi Arabia

  • Andrey Chabanov

    West Texas A\&M University, Rhodes College, Texas Woman's University, University of Texas at San Antonio, Texas A\&M University, Department of Physics, University of Texas at Arlington, Texas State University, Pajarito Scientific Corporation, Idaho National Laboratory, Duke University, UNC, Department of Chemistry, UTSA, Department of Physics and Astronomy, UTSA, The University of Texas at San Antonio, Harvar-Smithsonian Center for Astrophysics, University of New Mexico, Maria Mitchel Observatory, NRAO, University of Alabama, Trinity University, Department of Physics and Astronomy, University of Texas at San Antonio, San Antonio, Texas 78249, V. Alecsandri College, Bacau, Romania, University of Texas at Dallas, Argonne National Laboratory, Western Michigan University, Institute of Physics, UNAM, Mexico, University of North Texas - Chemistry, University of St. Thomas, SwRI San Antonio, Alan G. MacDiarmid NanoTech Institute, University of Texas at Dallas, Department of Electrical and Computer Engineering, University of Texas at Arlington, Department of Physics, University of Texas at Brownsville, SciPrint.org, The University of Texas at Austin, Georgia Tech, MIT, University of Tennessee, University of Michigan, ORNL, Texas A&M University-Commerce, University of Texas San Antonio, University of Texas at Brownsville, University of Dallas, Sternberg Astronomical Institute, SwRI, CU-Boulder, SwRI/UTSA, Southwest Research Institute, JILA, University of Colorado, Department of Physics, Texas A\&M University, Stephen F. Austin State University, Angelo State University, St. Mary's University, Physics Department, University of South Florida, CINVESTAV, Queretaro, Mexico, Department of Physics, UCSD, LANSCE, Los Alamos National Laboratory, Department of Physics and Astronomy, Texas A\&M University, Texas A\&M University: Department of Physics, Texas Christian University, Fort Worth, TX, Paschal High School, Fort Worth, TX, Tarleton State University, Stephenville, TX, Paine College, Augusta, GA, University of Houston, University of Texas at Arlington, IREAP, Department of Physics, University of Maryland, Air Force Research Laboratory, Institute for Quantum Studies and Department of Physics, Texas A\&M Universtity, College Station, Texas 77843, USA, Max-Planck Institut for Kernphysik, Saupfercheckweg 1,D-69117 Heidelberg, Germany, The National Center for Mathematics and Physics, P.O. Box 6086, KACST, Riyadh 11442, Saudi Arabia

  • Andrey Chabanov

    West Texas A\&M University, Rhodes College, Texas Woman's University, University of Texas at San Antonio, Texas A\&M University, Department of Physics, University of Texas at Arlington, Texas State University, Pajarito Scientific Corporation, Idaho National Laboratory, Duke University, UNC, Department of Chemistry, UTSA, Department of Physics and Astronomy, UTSA, The University of Texas at San Antonio, Harvar-Smithsonian Center for Astrophysics, University of New Mexico, Maria Mitchel Observatory, NRAO, University of Alabama, Trinity University, Department of Physics and Astronomy, University of Texas at San Antonio, San Antonio, Texas 78249, V. Alecsandri College, Bacau, Romania, University of Texas at Dallas, Argonne National Laboratory, Western Michigan University, Institute of Physics, UNAM, Mexico, University of North Texas - Chemistry, University of St. Thomas, SwRI San Antonio, Alan G. MacDiarmid NanoTech Institute, University of Texas at Dallas, Department of Electrical and Computer Engineering, University of Texas at Arlington, Department of Physics, University of Texas at Brownsville, SciPrint.org, The University of Texas at Austin, Georgia Tech, MIT, University of Tennessee, University of Michigan, ORNL, Texas A&M University-Commerce, University of Texas San Antonio, University of Texas at Brownsville, University of Dallas, Sternberg Astronomical Institute, SwRI, CU-Boulder, SwRI/UTSA, Southwest Research Institute, JILA, University of Colorado, Department of Physics, Texas A\&M University, Stephen F. Austin State University, Angelo State University, St. Mary's University, Physics Department, University of South Florida, CINVESTAV, Queretaro, Mexico, Department of Physics, UCSD, LANSCE, Los Alamos National Laboratory, Department of Physics and Astronomy, Texas A\&M University, Texas A\&M University: Department of Physics, Texas Christian University, Fort Worth, TX, Paschal High School, Fort Worth, TX, Tarleton State University, Stephenville, TX, Paine College, Augusta, GA, University of Houston, University of Texas at Arlington, IREAP, Department of Physics, University of Maryland, Air Force Research Laboratory, Institute for Quantum Studies and Department of Physics, Texas A\&M Universtity, College Station, Texas 77843, USA, Max-Planck Institut for Kernphysik, Saupfercheckweg 1,D-69117 Heidelberg, Germany, The National Center for Mathematics and Physics, P.O. Box 6086, KACST, Riyadh 11442, Saudi Arabia

  • Andrey Chabanov

    West Texas A\&M University, Rhodes College, Texas Woman's University, University of Texas at San Antonio, Texas A\&M University, Department of Physics, University of Texas at Arlington, Texas State University, Pajarito Scientific Corporation, Idaho National Laboratory, Duke University, UNC, Department of Chemistry, UTSA, Department of Physics and Astronomy, UTSA, The University of Texas at San Antonio, Harvar-Smithsonian Center for Astrophysics, University of New Mexico, Maria Mitchel Observatory, NRAO, University of Alabama, Trinity University, Department of Physics and Astronomy, University of Texas at San Antonio, San Antonio, Texas 78249, V. Alecsandri College, Bacau, Romania, University of Texas at Dallas, Argonne National Laboratory, Western Michigan University, Institute of Physics, UNAM, Mexico, University of North Texas - Chemistry, University of St. Thomas, SwRI San Antonio, Alan G. MacDiarmid NanoTech Institute, University of Texas at Dallas, Department of Electrical and Computer Engineering, University of Texas at Arlington, Department of Physics, University of Texas at Brownsville, SciPrint.org, The University of Texas at Austin, Georgia Tech, MIT, University of Tennessee, University of Michigan, ORNL, Texas A&M University-Commerce, University of Texas San Antonio, University of Texas at Brownsville, University of Dallas, Sternberg Astronomical Institute, SwRI, CU-Boulder, SwRI/UTSA, Southwest Research Institute, JILA, University of Colorado, Department of Physics, Texas A\&M University, Stephen F. Austin State University, Angelo State University, St. Mary's University, Physics Department, University of South Florida, CINVESTAV, Queretaro, Mexico, Department of Physics, UCSD, LANSCE, Los Alamos National Laboratory, Department of Physics and Astronomy, Texas A\&M University, Texas A\&M University: Department of Physics, Texas Christian University, Fort Worth, TX, Paschal High School, Fort Worth, TX, Tarleton State University, Stephenville, TX, Paine College, Augusta, GA, University of Houston, University of Texas at Arlington, IREAP, Department of Physics, University of Maryland, Air Force Research Laboratory, Institute for Quantum Studies and Department of Physics, Texas A\&M Universtity, College Station, Texas 77843, USA, Max-Planck Institut for Kernphysik, Saupfercheckweg 1,D-69117 Heidelberg, Germany, The National Center for Mathematics and Physics, P.O. Box 6086, KACST, Riyadh 11442, Saudi Arabia