Formal Analogy between the Dirac Equation in Its Majorana Form and the Discrete-Velocity Version of the Boltzmann Kinetic Equation
We point out a formal analogy between the Dirac equation in Majorana form and the discrete-velocity version of the Boltzmann kinetic equation. By a systematic analysis based on the theory of operator splitting, this analogy is shown to turn into a concrete and efficient computational method, providing a unified treatment of relativistic and nonrelativistic quantum mechanics.
Fixed point iterations for a class of nonstandard Sturm -Liouville boundary value problems
The paper examines a particular class of nonlinear integro-differential equations consisting
of a Sturm-Liouville boundary value problem on the half-line, where the coefficient of
the differential term depends on the unknown function by means of a scalar integral operator.
In order to handle the nonlinearity of the problem, we consider a fixed point iteration
procedure, which is based on considering a sequence of classical Sturm-Liouville boundary
value problems in the weak solution sense.
Some investigations on a class of nonlinear integrodifferential equations on the half-line
We consider a particular second-order integrodifferential boundary value problem
arising from the kinetic theory of dusty plasmas, and we provide information
on the existence and other qualitative properties of the solution that have been
essential in the numerical investigation.
Multi-purpose interfaces for coupling SPH with other solvers
An algorithm for coupling SPH with an external
solution is presented. The external solution can be either another
SPH solution (possibly with different discretization) or a different
numerical solver or an analytical solution.
The interaction between the SPH solver and the external
solution is achieved through an interface region. The interface
region is defined as a fixed portion of the computational domain
that provides a boundary condition for the SPH solver. A ghost
fluid, composed by fully lagrangian particles (i.e.
Detached Eddy Simulation of the Flow Behind an Isolated Propeller
The turbulent flow behind a rotating marine propeller is analysed by integration of the Reynolds-Averaged Navier-Stokes Equations with both the Spalart & Allmaras (1994) eddy viscosity model and by a Detached Eddy Simulation approach (Spalart et al 1997) in order to assess advantages and limits of the two different turbulence models. As far as global quantities (like thrust and torque) are concerned, it is shown that the two methods perform equally well.
