Characteristic based inlet and outlet boundary conditions for incompressible flows
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DOI: 10.1002/fld.4476
Abstract: Summary Determining boundary conditions for incompressible flows is such a delicate matter that affects the accuracy of the results. In this research, a new characteristic based boundary condition for incompressible Navier–Stokes equations is introduced. Discretization… read more here.
Keywords: boundary conditions; incompressible flows; conditions incompressible; characteristic based ... See more keywords
On the conservation of energy in two-dimensional incompressible flows
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DOI: 10.1088/1361-6544/abb452
Abstract: We prove the conservation of energy for weak and statistical solutions of the two-dimensional Euler equations, generated as strong (in an appropriate topology) limits of the underlying Navier–Stokes equations and a Monte Carlo-spectral viscosity numerical… read more here.
Keywords: dimensional incompressible; energy; incompressible flows; two dimensional ... See more keywords
Variational principles for ideal MHD of steady incompressible flows via Lie-point symmetries with application to the magnetic structures of bipolar sunspots
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DOI: 10.1140/epjp/s13360-020-00598-z
Abstract: In this paper, Lie-point symmetries and conservation laws for the generalized Grad–Shafranov equation (GGSE) for symmetric magnetohydrodynamic (MHD) fluids with steady, inhomogeneous, incompressible flows are derived. The adjointness of that equation is discussed via a… read more here.
Keywords: variational principles; via lie; incompressible flows; point symmetries ... See more keywords