Global ETD Search
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Showing 1 to 5 of 5 for “"asymptotic preserving"”.
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Structure-preserving finite element and finite volume methods for nonlinear and time-dependent PDEs
… significant advancements in the structure-preserving discretization of partial differential equations, developing and analyzing novel numerical schemes with applications ranging from compressible fluid dynamics to magnetohydrodynamics (MHD) in tokamak geometries for nuclear fusion research. …
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Keller-Segel-Type Models and Kinetic Equations for Interacting Particles: Long-Time Asymptotic Analysis
… The first and second parts focus on long-time asymptotics of macroscopic and kinetic models respectively, while in the third part we connect these regimes using different scaling approaches. (1) Keller–Segel-type aggregation-diffusion equations: We study a Keller–Segel-type model with …
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Semi-implicit schemes for compressible fluids in elastic pipes and a-posteriori sub-cell finite volume limiting techniques for semi-implicit Discontinuous Galerkin schemes for hyperbolic conservation laws on staggered meshes
… very important property, which is the so-called asymptotic preserving (AP) property of the scheme. We carry out several numerical tests in order to validate this novel family of numerical methods against available exact solutions and experimental data. We also report numerical convergence tables …
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Numerical Methods for All Mach Number flows for Gas Dynamics
An original numerical method to solve the all-Mach number flow for the Euler equations of gas dynamics on staggered grid is presented in this thesis. The system is discretized to second order in space on staggered grid, in a fashion similar to the Nessyahu-Tadmor central scheme for 1D model and …