Search results for " Numerical solution"

showing 3 items of 3 documents

On mathematical modelling of the solid-liquid mixtures transport in porous axial-symmetrical container with Henry and Langmuir sorption kinetics

2018

In this paper we study diffusion and convection filtration problem of one substance through the pores of a porous material which may absorb and immobilize some of the diffusing substances. As an example we consider round cylinder with filtration process in the axial direction. The cylinder is filled with sorbent i.e. absorbent material that passed through dirty water or liquid solutions. We can derive the system of two partial differential equations (PDEs), one expressing the rate of change of concentration of water in the pores of the sorbent and the other - the rate of change of concentration in the sorbent or kinetical equation for absorption. The approximation of corresponding initial b…

LangmuirMaterials scienceSorption kineticsaveraging method010501 environmental sciences010402 general chemistryContainer (type theory)diffusion problem01 natural sciences0104 chemical sciencesChemical engineeringanalytical and numerical solutionspecial splinessorbentsModeling and SimulationQA1-939PorosityabsorptionAnalysisSolid liquidMathematics0105 earth and related environmental sciencesMathematical Modelling and Analysis
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Cross-phase modulational instability induced by Raman scattering in highly birefringent fiber

2013

We report experimental and theoretical studies of Raman-induced cross-phase modulational instabilities (XPMI) in a high-birefringence, normally dispersive optical fiber. Experimental results reveal that the Raman-Stokes wave, generated by a quasi-CW pump beam, interacts with the latter to create a novel type of XPMI sidebands. These sidebands are characterized by a narrow gain bandwidth. The sideband frequencies are well reproduced by a linear stability analysis as well as by full numerical solutions of the coupled generalized nonlinear Schrödinger equations.

PhysicsOptical fiberSidebandbusiness.industryPhase (waves)Physics::OpticsNonlinear opticsCondensed Matter::Mesoscopic Systems and Quantum Hall EffectAtomic and Molecular Physics and Opticslaw.inventionNonlinear systemModulational instabilitysymbols.namesakeOpticsCross-polarized wave generationlawsymbolsCross phase modulational instability; dinger equation; full numerical solutionbusinessRaman scattering
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Saturation excess runoff numerical simulation

2005

Saturation excess runoff is a relevant process which needs additional experimental and modeling efforts. This work is focused on its numerical modeling. The final objective is the successive interpretation of ongoing experimental monitoring results in two watersheds in different areas of Italy where the saturation excess runoff formation mechanism seems to be important. The numerical solution of the two-dimensional Richards’ equation allows the evaluation of the sensitivity to the various influent parameters : rainfall intensity, soil properties, depth and initial water content, slope and hillslope length. Also the subsurface flow is simulated at the same time, allowing the evaluation of th…

Soil Saturation excess Numerical solution Richards equationSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-Forestali
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