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A high-order discontinuous Galerkin method with Lagrange multipliers (DGLM) is presented for the solution of the steady advection-diffusion equation with a variable advection field in the high Peclet number regime.
A method for adaptive refinement of a Cartesian mesh for the solution of the steady Euler equations is presented.
The exact steady state probability density function is effectively constructed as the solution of the steady Fokker-Planck equation.
These levels still range from a solution of the steady Reynolds-Averaged Navier Stokes (RANS) equations to a Direct Numerical Simulation, with Large-Eddy Simulation in between.
The performance of the proposed schemes is assessed in the solution of the steady state quasi one-dimensional Euler equations for two test cases of increasing difficulty.
A novel multigrid method for the solution of the steady Reynolds-averaged Navier Stokes equations is presented, that gives convergence speeds similar to laminar flow multigrid solvers.
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A general solution of the steady-state heat conduction problem has been suggested for an arbitrary volume power density.
A moment methodology for coagulation and breakage problems: Part I analytical solution of the steady-state population balance.
Here we present an exact analytical solution of the steady-state density matrix for this class of systems, including one-photon losses, which are considered detrimental for the achievement of cat states.
The analytical solution of the steady-state problem was shown to be in excellent agreement with the available experimental data.
The radial temperature profile is determined from the analytical solution of the steady-state heat conduction equation in the fuel pin, ignoring azimuthal dependence and axial heat flow.
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