TY - JOUR
T1 - Inclusion of no-slip boundary conditions in the MEEVC scheme
AU - de Diego, G. G.
AU - Palha, A.
AU - Gerritsma, M.
PY - 2019
Y1 - 2019
N2 - This work presents three methods for enforcing tangential velocity boundary conditions for the MEEVC scheme, which was shown to be mass, enstrophy, energy and vorticity conserving scheme in the case of inviscid flow [1]. While the normal velocity component can be strongly imposed in a div-conforming formulation for the velocity field, inclusion of the tangential velocity needs to be set through an appropriate choice of vorticity boundary conditions. Three methods to impose the tangential velocity boundary condition will be discussed: The kinematic Dirichlet formulation, the kinematic Neumann formulation and the dynamic Neumann formulation. The conservation properties of each of the resulting schemes are analyzed and numerical results are shown for the Taylor–Green vortex and for the dipole collision test cases. These confirm that kinematic Neumann vorticity boundary conditions perform best.
AB - This work presents three methods for enforcing tangential velocity boundary conditions for the MEEVC scheme, which was shown to be mass, enstrophy, energy and vorticity conserving scheme in the case of inviscid flow [1]. While the normal velocity component can be strongly imposed in a div-conforming formulation for the velocity field, inclusion of the tangential velocity needs to be set through an appropriate choice of vorticity boundary conditions. Three methods to impose the tangential velocity boundary condition will be discussed: The kinematic Dirichlet formulation, the kinematic Neumann formulation and the dynamic Neumann formulation. The conservation properties of each of the resulting schemes are analyzed and numerical results are shown for the Taylor–Green vortex and for the dipole collision test cases. These confirm that kinematic Neumann vorticity boundary conditions perform best.
KW - MEEVC scheme
KW - Mimetic discretization
KW - Navier–Stokes
KW - Velocity boundary conditions
KW - Navier-Stokes
UR - http://www.scopus.com/inward/record.url?scp=85057450653&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2018.11.025
DO - 10.1016/j.jcp.2018.11.025
M3 - Article
AN - SCOPUS:85057450653
SN - 0021-9991
VL - 378
SP - 615
EP - 633
JO - Journal of Computational Physics
JF - Journal of Computational Physics
ER -