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Title: A semi-Lagrangian transport method for kinetic problems: application to dense multi-phase flows.


Abstract not provided.

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Publication Date:
Research Org.:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
Report Number(s):
DOE Contract Number:
Resource Type:
Resource Relation:
Conference: Proposed for presentation at the 2nd Frontiers in Computational Physics Conference: Energy Sciences held June 3-5, 2015 in Zurich, Switzerland.
Country of Publication:
United States

Citation Formats

Arienti, Marco, Doisneau, Francois, and Oefelein, Joseph. A semi-Lagrangian transport method for kinetic problems: application to dense multi-phase flows.. United States: N. p., 2015. Web.
Arienti, Marco, Doisneau, Francois, & Oefelein, Joseph. A semi-Lagrangian transport method for kinetic problems: application to dense multi-phase flows.. United States.
Arienti, Marco, Doisneau, Francois, and Oefelein, Joseph. 2015. "A semi-Lagrangian transport method for kinetic problems: application to dense multi-phase flows.". United States. doi:.
title = {A semi-Lagrangian transport method for kinetic problems: application to dense multi-phase flows.},
author = {Arienti, Marco and Doisneau, Francois and Oefelein, Joseph},
abstractNote = {Abstract not provided.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2015,
month = 1

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  • For sprays, as described by a kinetic disperse phase model strongly coupled to the Navier–Stokes equations, the resolution strategy is constrained by accuracy objectives, robustness needs, and the computing architecture. In order to leverage the good properties of the Eulerian formalism, we introduce a deterministic particle-based numerical method to solve transport in physical space, which is simple to adapt to the many types of closures and moment systems. The method is inspired by the semi-Lagrangian schemes, developed for Gas Dynamics. We show how semi-Lagrangian formulations are relevant for a disperse phase far from equilibrium and where the particle–particle coupling barelymore » influences the transport; i.e., when particle pressure is negligible. The particle behavior is indeed close to free streaming. The new method uses the assumption of parcel transport and avoids to compute fluxes and their limiters, which makes it robust. It is a deterministic resolution method so that it does not require efforts on statistical convergence, noise control, or post-processing. All couplings are done among data under the form of Eulerian fields, which allows one to use efficient algorithms and to anticipate the computational load. This makes the method both accurate and efficient in the context of parallel computing. After a complete verification of the new transport method on various academic test cases, we demonstrate the overall strategy's ability to solve a strongly-coupled liquid jet with fine spatial resolution and we apply it to the case of high-fidelity Large Eddy Simulation of a dense spray flow. A fuel spray is simulated after atomization at Diesel engine combustion chamber conditions. The large, parallel, strongly coupled computation proves the efficiency of the method for dense, polydisperse, reacting spray flows.« less
  • A new approach to the simulation of multi-phase dense particulate flows has been developed based on taking the best of Eulerian/Eulerian and Eulerian/Lagrangian formulations. This new approach uses a modern Particle-In-Cell method that has been extended to multi-phase flows. The method was accurate mappings from Lagrangian particles to and from Eulerian space so that continuum intergranular stress formulations can be incorporated in the modeling. The result is a new model that can handle particulate loading ranging from dense to dilute, a distribution of particle sizes, and a range of particulate materials. This paper describes the new method and results frommore » a one-dimensional implementation. The Lagrangian particulate formulation is well suited for a massively parallel environment, with a coupled high speed calculation of the underlying Eulerian gas phase governing equations. The new simulation method has important applications in Fluidized Bed Combustion, Catalytic Cracking processes and many other granular flows. Extension of the method to two- and three-dimensional flows with parallel computation means that we can offer a comprehensive methodology for dense granular flows.« less
  • To improve the semi-Lagrangian model, a spectral method was incorporated in the numerical calculations. This spectral method for solving nonperiodic boundary problems was based on a technique of decomposing a variable (i.e. pollutant concentration) into a polynomial and a periodic Fourier residual. A fifth-order polynomial was proposed. When performing the semi-Lagrangian calculation, the spectral intrapolation for estimating the transport of material between grid points was used. From this, a method for removing small negative masses without lossing mass conservation was developed. The numerical tests of the semi-Lagrangian scheme with the spectral interpolation on the advective transport of a mass undermore » nonuniform and uniform winds in a limited computational domain were performed previously and published. In this study, the scheme was applied to solve the two-dimensional time-dependent advection-diffusion equation describing the transport and dispersion of atmospheric pollutants. The calculations demonstrated the efficiency and accuracy of the numerical solutions in a limited region by using this semi-Lagrangian technique incorporated with the spectral method. The main objective of this present study was to develop an advanced numerical modelling technique for air pollution studies on a regional scale.« less
  • Abstract not provided.