dYdm()

transport operator for given transport velocity

transport the quantity given by the index %ind_NameOfEntity% with the velocity %ind_v_Euler(1)% , %ind_v_Euler(2)% , %ind_v_Euler(3)% If another transport velocity has to be used, it can be given by optional parameters.
[ ... dYdm(%ind_NameOfEntity%) OPTIONAL :: u_transp, v_transp, w_transp, orderApprox, alphaKernel, dt, limitFlux, ind_DEBUG ... ]
  • ( u_transp, v_transp, w_transp ) = local transport speed, default: (Y%ind_v_Euler(1)%, Y%ind_v_Euler(2)%, Y%ind_v_Euler(3)%)
  • orderApprox = approximation order, default: ord_gradient
  • alphaKernel = cofactor for the weight kernel \( W_{ij} = exp( -alpha * r_{ij}^2 )\) , default: DIFFOP_Kernel_transport
  • ind_DEBUG = user defined index in order to debug the approximation property (effective order of approximation), pointwise
Note: The normal derivative is only valid for boundary points.