Browsing Theses by Supervisor "Krivodonova, Lilia"
Now showing items 1-5 of 5
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Efficient Runge-Kutta Based Local Time-Stepping Methods
(University of Waterloo, 2016-04-27)The method of lines approach to the numerical solution of transient hyperbolic partial differential equations (PDEs) allows us to write the PDE as a system of ordinary differential equations (ODEs) in time. Solving this ... -
Explicit Runge-Kutta time-stepping with the discontinuous Galerkin method
(University of Waterloo, 2018-04-20)In this thesis, the discontinuous Galerkin method is used to solve the hyperbolic equations. The DG method discretizes a system into a semi-discrete system and a system of ODEs is obtained. To solve this system of ODEs ... -
Limiting techniques for the discontinuous Galerkin method on unstructured meshes
(University of Waterloo, 2022-08-18)Many complex phenomena like shock-shock interactions, shock-vortex interactions, stratified flows, etc., are governed by nonlinear hyperbolic conservation laws. Higher order numerical schemes like the discontinuous Galerkin ... -
A parallel, adaptive discontinuous Galerkin method for hyperbolic problems on unstructured meshes
(University of Waterloo, 2018-09-04)This thesis is concerned with the parallel, adaptive solution of hyperbolic conservation laws on unstructured meshes. First, we present novel algorithms for cell-based adaptive mesh refinement (AMR) on unstructured ... -
Physical Modelling and the Associated Acoustic Behaviour of Trumpets and Trombones
(University of Waterloo, 2019-09-30)Accurately modelling the production of realistic musical notes in brass instruments is no easy task. Compared to woodwind instruments, brass instruments are considerably longer and constructed with bends, valves or coils, ...