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Showing 1 to 20 of 126 for “"transport equations"”.
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Error Transport Equations for Unsteady Discontinuous Applications
… study addresses quantifying DE through Error Transport Equations (ETE), which are an additional set of equations capable of quantifying the local DE in a solution. Historically, Richardson extrapolation has been a mainstay for DE estimation due to its simplicity and effectiveness. However, the …
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Multigroup transport equations with nondiagonal cross section matrices
It is shown that multigroup transport equations with nondiagonal cross section matrices arise when the modal approximation is applied to energy dependent transport equations. This work is a study of such equations for the case that the cross section matrix is nondiagonalizable. For the special case …
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Controlled derivation of semiclassical transport equations for electroweak baryogenesis
… provide a controlled derivation of semiclassical transport equations for CP-violating flows for a system of scalar and fermionic fields in the presence of a slowly varying background field. This is the situation in a first order electroweak phase transition, where the background is given by the …
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On the Spectrum of Neutron Transport Equations with Reflecting Boundary Conditions
… to investigating the time dependent neutron transport equations with reflecting boundary conditions. Two typical geometries --- slab geometry and spherical geometry --- are considered in the setting of <I>L^p</I> including <I>L^1</I>. Some aspects of the spectral properties of the transport …
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Discretization Error Estimation Using the Error Transport Equations for Computational Fluid Dynamics Simulations
… To perform a CFD simulation, the governing equations are discretized to formulate a set of nonlinear algebraic equations. Typical spatial discretization schemes include finite-difference methods, finite-volume methods, and finite-element methods. Error introduced in the discretization …
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Acoustic-Gravity Wave Propagation Based on Solutions to the Generalized Multi-component Transport Equations
… Here, we solve the hydrodynamic conservation equations for a multi-component flow, based on the method described by [Ern and Giovangigli 1994], with an emphasis on the effects of mass-diffusion on a vertically propagating atmospheric waves that reach the lower thermosphere. The application of …
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Numerical Studies of Solutions of the Boltzmann Transport Equations for Rarefied Gas Flow Problems
Made available in DSpace on 2014-12-09T18:12:27Z (GMT). No. of bitstreams: 1 7000962.pdf: 3037330 bytes, checksum: 545b735a1feadd57deb3aa683c3fe5b2 (MD5) Previous issue date: 1969
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Functional analytic treatment of linear transport equations in kinetic theory and neutron transport theory
… of Kinetic Theory and the conservative neutron transport equation are studied. In both cases a modified version of the Larsen-Habetler resolvent integration technique is applied to obtain full-range and half-range expansions. For the neutron transport equation the method applied is seen to have …
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Modeling microwave heating of apple cylinders using hybrid mixture theory based transport equations coupled with Maxwell's laws of electromagnetism
… Two-scale hybrid mixture theory (HMT) based transport equations were utilized to describe the fluid (water & gas phases) transport during the microwave drying of apple cylinders. Maxwell’s electromagnetic equations were coupled with HMT based transport equations to obtain heating source for …
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Coupled Rate and Transport Equations Modeling Light Yield, Pulse Shape, and Proportionality to Energy in Electron Tracks: A Study of CsI and CsI:Tl Scintillators
… in electron tracks by solving coupled rate and transport equations describing both the movement and the linear and nonlinear interactions of the charge carriers deposited along the ionization track. The tracks are initially very narrow before hot and thermalized carrier diffusion takes effect. …
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Modeling of transport mechanisms and quality changes during the microwave frying of foods by solving hybrid mixture theory-based unsaturated transport equations coupled with maxwell's equations of electromagnetism
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2027-08-01
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A New Paradigm Of Modeling Watershed Water Quality
… models to reliably predict sediment and chemical transport in watershed water systems enhance the ability of environmental scientists, engineers and decision makers to analyze the impact of contamination problems and to evaluate the efficacy of alternative remediation techniques and management …
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A Three-dimensional Bay/estuary Model To Simulate Water Quality Transport
… Through the decomposition of species governing equations via Gauss-Jordan column reduction of the reaction network, (1) redundant fast reactions and irrelevant kinetic reactions are removed from the system, which alleviates the problem of unnecessary and erroneous formulation and …
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Analysis of Three Dimensional Turbulent Shear Flow Experiments with Respect to Algebraic Modeling Parameters
… shear stresses lagging that of the mean flow. Transport equations for the turbulent shear stresses were proposed to be included in a modeling effort capable of accounting for the lags seen in the flow. This study is aimed at developing algebraic relationships between the various …
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Numerical Modeling and Simulation of Mineral Dissolution in Fractured Carbonate Formations
… plays important role in many subsurface transport processes including waterflooding, geological CO2 sequestration (GCS), and matrix acidizing in carbonate formations. Such a dissolution process could form the preferential pathways to cause a failure of waterflooding and GCS due to the …
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Lattice Boltzmann modeling for shallow water equations using high performance computing
… flow fields. The shallow water and mass transport equations have wide applications in ocean, coastal, and hydraulic engineering, which can benefit from the advantages of the LBM. The LBM has recently become an attractive numerical method to solve various fluid dynamics phenomena; however, …
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Eulerian modelling and computational fluid dynamics simulation of mono and polydisperse fluidized suspension
… suspensions. We first derive new averaged equations of motion for particulate systems made up of a finite number of monodisperse particle classes; this clarifies the mathematical origin and physical meaning of the terms featuring in the equations and allows to attain a well-posed multiphase …
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Simulation of Thermal Effects in Semiconductor Materials and Devices
… the interaction between thermal and electrical transport, and the numerical methods for their simulation. The approach is based on the Boltzmann transport equation which is used to describe the behavior of both electrons and phonons and their interaction with each other, as well as their …
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Numerical calculations for flows past an unconventional airfoil
… the steady-state Reynolds-averaged Navier-Stokes equations in primitive variable form. The standard k-$\varepsilon$ turbulence model was employed and a compression turbulence model was also discussed. Based on a non-staggered arrangement on a body-fitted grid system, the discretized transport …
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Transport phenomena in plant-internal processes: growth and carbon dioxide transport
… one of the central themes, although the lateral transport of carbon dioxide (CO2 ) was also treated. These processes depend strongly on fluxes of water, hormones and/or CO2 . Thus, suitable transport equations were sought for to describe these processes. Using the Lockhart-Equations, which are …
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