Energy Preserving Boundary Conditions

Matthias Köhne

Chapter 2 in Lp-Theory for Incompressible Newtonian Flows, 2013, pp 21-32 from Springer

Abstract: Abstract As has been pointed out in the introduction the Navier-Stokes equations $$({\partial _t}\rho u) + {\rm{div(}}\rho u \otimes u - S{\rm{)}} = \rho f,\quad \quad S = 2\mu D - p,\quad \quad {\rm{div}}\;u = 0\quad \quad {\rm{in}}\;J \times \Omega $$ form a system of partial differential equations and have to be complemented by suitable initial and boundary conditions.

Keywords: Rigid Wall; Transmission Condition; Total Kinetic Energy; Robin Boundary Condition; Stokes Operator (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-658-01052-2_2

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