Boltzmann equation and its solution
Über Lösungsverfahren für die Boltzmann-Gleichung. EUR 217. = About the solution method for the Boltzmann equation. EUR 217.
... An exclusive system of selection functions, suitable for concrete reactor problems, provides a clear and simple method of calculating criticality and neutron flux.. European Atomic Ene[r] ...
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A fast iterative scheme for the linearized Boltzmann equation
... the Boltzmann equation are efficient for highly rarefied gas flows, but can be very slow to converge in the near-continuum flow ...the solution of the linearized Boltzmann equation by ...
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Deviational particle Monte Carlo for the Boltzmann equation
... the solution and leaves the stochastic simulation part for an appropriately transformed problem describing the deviation from that ...the solution of nonlinear ...
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Distributional Monte Carlo Methods for the Boltzmann Equation
... The Boltzmann equation The Boltzmann equation ...governing equation of kinetic ...of its constituent molecules ...Ludwig Boltzmann [23] at a time when the atomic makeup of ...
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Benchmarking of three dimensional multicomponent lattice Boltzmann equation
... a solution of the Stokes equation) therefore superpose with flow induced by the applied shear. Once identified, they may be subtracted. Furthermore, this work points to the importance of the method of ...
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Benchmarking of three dimensional multicomponent lattice Boltzmann equation
... The conditions of our validation (Re, Ca small) mean the micro-current is significant with respect of physical flow (possibly the reason for previous neglect of this validation). Our results achieve a paradoxical ...
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Towards perfectly matching layers for lattice Boltzmann equation
... To determine the reflected wave, we perform another simulation in the domain Ω R = [ 0 , l ] × [ 0 , h ] . In this domain we take the same configuration as in the domain Ω − with the same boundary conditions for the ...
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Benchmarking of three-dimensional multicomponent lattice Boltzmann equation
... The conditions of our validation (Re, Ca small) mean the micro-current is significant with respect of physical flow (possibly the reason for previous neglect of this validation). Our results achieve a paradoxical ...
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Assessment and development of the gas kinetic boundary condition for the Boltzmann equation
... numerical solution of the Boltzmann equation with simple experiments, the kinetic boundary condition can be used in gas micro-electro-mechanical systems with complex geometries and flow ...
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Assessment and development of the gas kinetic boundary condition for the Boltzmann equation
... numerical solution of the Boltzmann equation with simple experiments, the kinetic boundary condition can be used in gas micro-electro-mechanical systems with complex geometries and flow ...
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C0 Approximation on the Spatially Homogeneous Boltzmann Equation for Maxwellian Molecules
... of Boltzmann equation as well as practical ...the solution of (1) is increasing with the time t due to the diffusion ...the solution of (1) approaches to the Maxwel- lian equilibrium in large ...
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CiteSeerX — On Stationary and Time-Dependent Solutions to the Linear Boltzmann Equation
... equilibrium solution, when time goes to in ...linear Boltzmann equation with general boundary conditions and general initial data, under the assumption of existence of a corresponding stationary ...
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Probabilistic Interpretation for the Nonlinear Poisson-Boltzmann Equation in Molecular Dynamics
... (PB) equation describes the electrostatic potential of a biomolec- ular system composed by a molecule in a ...numerical solution of PB equation is very ...PB equation with Backward Stochastic ...
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The derivation of the linear Boltzmann equation from a Rayleigh gas particle model
... a solution P t to a Kolmogorov differential equation ...this solution to the solution of the linear Boltzmann ...a solution on the most simple trees and using this to iteratively ...
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method
... space-homogeneous Boltzmann equation with the exact Bobylev-Krook-Wu solutions for a gas of Maxwell ...also its temperature dependence) is ...space-inhomogeneous Boltzmann equation, ...
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New groundwater flow equation with its exact solution
... The rst method was the well-known method of separation of variables. The problem with this method is the introduction of the eigenvalue that does not have physical meaning. The second method was achieved using novel ...
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Direct numerical simulation of complex viscoelastic flows via fast lattice-Boltzmann solution of the Fokker–Planck equation
... convective-transport equation for visco- elastic stresses in the physical space, which is equivalent to the transport of the distribution ...for its use in steady-state ...Fokker–Planck equation is ...
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Numerical Solution of Nonlinear Klein Gordon Equation Using Lattice Boltzmann Method
... Lattice Boltzmann, Chapman-Enskog Expansion, Nonlinear Klein-Gordon Equation ...differential equation appear in many areas of scientific fields such as solid state physics, plasma physics, fluid ...
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An Inverse Problem for the Boltzmann Equation
... These nonlinear terms highly depend on the velocity u, v, u 0 , v 0 before and after the collisions. After performing a classical linearization method, the inverse problem for the nonlinear Boltzmann ...
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On the effects of the reactive terms in the Boltzmann equation
... 5 Discussion In so far as the methodology was concerned in the preced- ing material we introduced the grounds on which our method was based, detailed its mathematical expressions and commented on the limitations ...
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