High Order Methods and Applications in Computational Mechanics

Dr. Rakesh Ranjan earned his Ph.D. from the Department of Mechanical Engineering at Texas A&M University in 2010. He worked with Dr. J N Reddy during his Doctoral studies at the Advanced Computational Mechanics Laboratory. His work at Texas A&M involved solving structures problems with high order methods. Subsequently he worked as a Postdoctoral Fellow at the Department of Mechanical Engineering at the University of Texas, San Antonio (UTSA) from 2010-2013. At UTSA he augmented the SUPG and GLS stabilized finite element formulations for incompressible flow. Some of his contributions also involved solving hyperelastic deformations with applications in stress induced tissue growth. He subsequently joined Los Alamos National Laboratory (LANL) as a Research Associate in the Nuclear Engineering and Non-Proliferation Division (NEN) in 2013. He implemented a projection method to replace the convolution approach for solving incompressible free surface flow at LANL. Subsequently, he joined Astronautics Corporation of America at the Madison Center as a Senior Computational Modeler in 2015. Later he worked as a Senior Research Associate with the Department of Aerospace and Mechanical Engineering at the University of Oklahoma in 2017. His work at the University of Oklahoma involved solving compressible flow problems with non-equilibrium aero-thermodynamics considerations with applications in hypersonic atmospheric re-entry flow. He is currently with the University of Dayton, Research Institute and Air Force Research Laboratory (WPAFB) as an Aerothemodynamic Research Engineer, and concurrently as a Research Scientist with the Department of Mechanical Engineering, University of Texas, San Antonio (UTSA).

• Governing Equations.- The Basis.- Beam and Plate Theories.- A Non Uniform Rational B-Splines (NURBS) Framework.- Least Squares Finite Element Method.- Convective Heat Transfer and Fluid Flow.- Free Surface Flow.- Augmented Stabilized Formulations.- Fluid Structure Interaction.- Finite Volume Based Solutions of Hypersonic Flows.- Finite Element Based Solutions of Euler Equations.