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2: Laminar versus turbulent flow. Turbulent flow, which occurs at high Reynolds numbers, is unpredictable and disorderly. Figure taken from [4].

2: Laminar versus turbulent flow. Turbulent flow, which occurs at high Reynolds numbers, is unpredictable and disorderly. Figure taken from [4].

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Figure 1.1: Oblique shock waves formed on a supersonic fighter jet....
Figure 1.2: Laminar versus turbulent flow. Turbulent flow, which occurs...
Figure 1.3: Solution of Burgers' equation given the initial condition...
Figure 1.4: An example of LES applicable to study of turbulence in...
+6 Figure 2.1: Classification of various approaches used to discretize and...
Improving the Numerical Stability of Higher Order Methods with Applications to Fluid Dynamics
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  • Dec 2019
The discontinuous Galerkin (DG) method, which has recently gained popularity within the finite element community, is prone to numerical instabilities for high orders unless furnished with stabilizers. The goal of this thesis was to improve the numerical stability of DG schemes without the use of stabilizers. In particular, the nonlinear stability o...
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