
Some continuous and discontinuous Galerkin methods and structure preservation for incompressible flows
In this paper, we present consistent and inconsistent discontinuous Gale...
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Energy of Computing on Multicore CPUs: Predictive Models and Energy Conservation Law
Energy is now a firstclass design constraint along with performance in ...
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On concentration in vortex sheets
The question of energy concentration in approximate solution sequences u...
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The rotating rigid body model based on a nontwisting frame
This work proposes and investigates a new model of the rotating rigid bo...
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Numerical approximation of statistical solutions of the incompressible NavierStokes Equations
Statistical solutions, which are timeparameterized probability measures...
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Addressing the issue of mass conservation error and the connected problem of Carbuncle formation
We study mass conservation errors (momentum density spike) and the relat...
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An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows
This report extends the mathematical support of a subgrid artificial vis...
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On the conservation of energy in twodimensional incompressible flows
We prove the conservation of energy for weak and statistical solutions of the twodimensional Euler equations, generated as strong (in an appropriate topology) limits of the underlying NavierStokes equations and a Monte CarloSpectral Viscosity numerical approximation, respectively. We characterize this conservation of energy in terms of a uniform decay of the socalled structure function, allowing us to extend existing results on energy conservation. Moreover, we present numerical experiments with a wide variety of initial data to validate our theory and to observe energy conservation in a large class of twodimensional incompressible flows.
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