Browsing Waterloo Research by Author "Krivodonova, Lilia"
Now showing items 1-4 of 4
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Galerkin Finite Element Based Modeling of One Dimensional Packed Bed Reactor for Underground Coal Gasification (UCG) Process
Irum, Qudsiya; Khan, Shahid A.; Uppal, Ali; Krivodonova, Lilia (IEEE, 2020-12-11)Mathematical models of a complex physicochemical underground coal gasification process involve multidimensional non-linear partial differential equations (PDEs). Therefore, researchers always seek a suitable numerical ... -
On the optimal CFL number of SSP methods for hyperbolic problems
Giuliani, Andrew; Krivodonova, Lilia (Elsevier, 2019-01-01)We show that the theory for strong stability preserving (SSP) time stepping methods employed with the method of lines-type discretizations of hyperbolic conservation laws may result in overly stringent time step restrictions. ... -
On the TVD property of second order methods for 2D scalar conservation laws
Krivodonova, Lilia; Smirnov, Alexey (arXiv, 2021-10-05)The total variation diminishing (TVD) property is an important tool for ensuring nonlinear stability and convergence of numerical solutions of one-dimensional scalar conservation laws. However, it proved to be challenging ... -
Three-dimensional simulations of sound propagation in a trumpet with accurate mouthpiece shank geometry
Resch, Janelle; Krivodonova, Lilia; Vanderkooy, John (arXiv, 2016-11-01)The length and bore geometry of musical instruments directly influences the quality of sound that can be produced. In brass instruments, nonlinear effects from finite-amplitude wave propagation can lead to wave distortion ...