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High Order H(div) Discontinuous Galerkin Methods for MHD Equations
Title
High Order H(div) Discontinuous Galerkin Methods for MHD Equations
Author
Wu, Jian
Date Created
2016
Subjects--Topical
Mathematics
Description
In this dissertation, we investigate the divergence-free discontinuous Galerkin method using the $\mathcal{H}$(\textbf{div}) basis, to solve the nonlinear ideal magnetohydrodynamics (MHD) equations. This is a novel approach to ensure the divergenc...
Isogeometric collocation method for elasticity problems containing singularities
Title
Isogeometric collocation method for elasticity problems containing singularities
Author
Rattan, Puja
Date Created
2016
Subjects--Topical
Mathematics
Description
Isogeometric analysis (IGA), introduced by Hughes, et al. [2,3], is a mathematical approach that combines Finite Element analysis (FEA) in conjunction with engineering design tools, such as CAD, which allows analysis, testing and redesign of struc...
THE TURBULENT REACTING RICHTMYER-MESHKOV INSTABILITY: A NEW CANONICAL PROBLEM IN NON-PREMIXED COMBUSTION
Title
THE TURBULENT REACTING RICHTMYER-MESHKOV INSTABILITY: A NEW CANONICAL PROBLEM IN NON-PREMIXED COMBUSTION
Author
Varshochi, Hilda
Date Created
2016
Subjects--Topical
Mechanical engineering
Description
We describe detailed high-resolution numerical simulations of a class of shock-induced reactive turbulent mixing layers, where the scalar mixing, flow dynamics and combustion properties are driven by the Richtmyer-Meshkov (RM) instability. The 3D ...