Computation of Green's matrices for boundary value problems associated with a pair of mixed linear regular ordinary differential operators.
Computation of the drag force on a sphere close to a wall
We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive the corresponding asymptotics of the drag force in the close-contact limit. In this way, we recover and clarify the various expressions that can be found in previous studies.
Computation of the drag force on a sphere close to a wall
We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive the corresponding asymptotics of the drag force in the close-contact limit. In this way, we recover and clarify the various expressions that can be found in previous studies.
Computation of the drag force on a sphere close to a wall
We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive the corresponding asymptotics of the drag force in the close-contact limit. In this way, we recover and clarify the various expressions that can be found in previous studies.
Computational fluctuating fluid dynamics
This paper describes the extension of a recently developed numerical solver for the Landau-Lifshitz Navier-Stokes (LLNS) equations to binary mixtures in three dimensions. The LLNS equations incorporate thermal fluctuations into macroscopic hydrodynamics by using white-noise fluxes. These stochastic PDEs are more complicated in three dimensions due to the tensorial form of the correlations for the stochastic fluxes and in mixtures due to couplings of energy and concentration fluxes (e.g., Soret...
Computationally efficient technique for solving ODE systems exhibiting initial and boundary layers.
Computer implementation of a coupled boundary and finite element methods for the steady exterior Oseen problem.
COMSOL modelling for a water infiltration problem in an unsaturated medium.
Conditional stability and symmetry in hydrodinamics and mathematical biology
Conditions aux limites pour un système strictement hyperbolique fournies, par le schéma de Godunov
Conditions for the local regularity of weak solutions of the Navier-Stokes equations near the boundary.
Conditions implying regularity of the three dimensional Navier-Stokes equation
We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac-like inequalities. As part of our methods, we give a different approach to a priori estimates of Foiaş, Guillopé and Temam.
Conditions of Prodi-Serrin's type for local regularity of suitable weak solutions to the Navier-Stokes equations
In the context of suitable weak solutions to the Navier-Stokes equations we present local conditions of Prodi-Serrin’s type on velocity and pressure under which is a regular point of . The conditions are imposed exclusively on the outside of a sufficiently narrow space-time paraboloid with the vertex and the axis parallel with the -axis.
Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
Conforming equilibrium finite element methods for some elliptic plane problems
Conforming finite element approximation of the Stokes problem
Conjugate heat transfer of mixed convection for viscoelastic fluid past a stretching sheet.
Conjugate problems in convective heat transfer: review.
Consequences of symmetries on the analysis and construction of turbulence models.
Conservation law constrained optimization based upon front-tracking
We consider models based on conservation laws. For the optimization of such systems, a sensitivity analysis is essential to determine how changes in the decision variables influence the objective function. Here we study the sensitivity with respect to the initial data of objective functions that depend upon the solution of Riemann problems with piecewise linear flux functions. We present representations for the one–sided directional derivatives of the objective functions. The results can be used...