A note on the approximation of free boundaries by finite element methods
A note on the flow induced by a constantly accelerating edge in an Oldroyd-B fluid.
A note on the free convection boundary layer on a vertical surface with prescribed heat flux at small Prandtl number.
A note on the generalized energy inequality in the Navier-Stokes equations
We prove that there exists a suitable weak solution of the Navier-Stokes equation, which satisfies the generalized energy inequality for every nonnegative test function. This improves the famous result on existence of a suitable weak solution which satisfies this inequality for smooth nonnegative test functions with compact support in the space-time.
A note on the generic solvability of the Navier-Stokes equations
A Note on the Interpretation of Closed H-Surfaces in Physical Terms.
A note on the Poisson-Boltzmann equation
A note on the relaxation-time limit of the isothermal Euler equations.
A note on the solution of the von Kármán equations using series and Chebyshev spectral methods.
A note on three-dimensional compressible boundary layer growth
A note on variable viscosity and chemical reaction effects on mixed convection heat and mass transfer along a semi-infinite vertical plate.
A novel approach to modelling of flow in fractured porous medium
There are many problems of groundwater flow in a disrupted rock massifs that should be modelled using numerical models. It can be done via “standard approaches” such as increase of the permeability of the porous medium to account the fracture system (or double-porosity models), or discrete stochastic fracture network models. Both of these approaches appear to have their constraints and limitations, which make them unsuitable for the large- scale long-time hydrogeological calculations. In the article,...
A novel numerical technique for two-dimensional laminar flow between two moving porous walls.
A numerical algorithm for the Stokes problem based on an integral equation for the pressure via conformal mappings.
A numerical approximation of non-Fickian flows with mixing length growth in porous media.
A numerical method for preserving curve edges in nonlinear anisotropic smoothing.
A numerical method for unsteady flows
A high resolution finite volume method for the computation of unsteady solutions of the Euler equations in two space dimensions is presented and validated. The scheme is of Godunov-type. The first order part of the flux function uses the approximate Riemann problem solver of Pandolfi and here a new derivation of this solver is presented. This construction paves the way to understand the conditions under which the scheme satisfies an entropy condition. The extension to higher order is done by applying...
A numerical scheme for the quantum Boltzmann equation with stiff collision terms
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision terms. A class of asymptotic-preserving schemes was introduced in [F. Filbet and S. Jin,J. Comput. Phys. 229 (2010) 7625–7648] to handle this kind of problems. The idea is to penalize the stiff collision term by a BGK type operator. This method, however, encounters its own difficulty when applied to the quantum Boltzmann equation. To define the quantum Maxwellian...
A numerical scheme for the quantum Boltzmann equation with stiff collision terms⋆
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision terms. A class of asymptotic-preserving schemes was introduced in [F. Filbet and S. Jin,J. Comput. Phys. 229 (2010) 7625–7648] to handle this kind of problems. The idea is to penalize the stiff collision term by a BGK type operator. This method, however, encounters its own difficulty when applied to the quantum Boltzmann...
A numerical study of effects of the axial stress on unsteady liquid pipeline flows.