Intraparticle models of thermal processes are essential in the Discrete Element Method (DEM) when particles are thermally thick. Accurately solving the intraparticle conservation equations using the finite volume meth...Intraparticle models of thermal processes are essential in the Discrete Element Method (DEM) when particles are thermally thick. Accurately solving the intraparticle conservation equations using the finite volume method requires sufficient spatial and temporal resolution, increasing simulation cost. This short communication proposes to replace the finite volume method (FVM) by a novel tabulated model that reduces the computational effort without compromising accuracy. The look-up database is generated from a set of single-particle simulations under different boundary conditions using the FVM. To assess the capability of the tabulated model to reproduce the results of the finite volume method, another single particle case with periodic functions for the fluid temperature is simulated. Results showed that tabulation provides accurate predictions while reducing computational cost by a factor of 3–10.展开更多
We treat the accurate simulation of the calcination reaction in particles,where the particles are large and,thus,the inner-particle processes must be resolved.Because these processes need to be described with coupled ...We treat the accurate simulation of the calcination reaction in particles,where the particles are large and,thus,the inner-particle processes must be resolved.Because these processes need to be described with coupled partial differential equations(PDEs)that must be solved numerically,the computation times for a single particle are too high for use in simulations that involve many particles.Simulations of this type arise when the Discrete Element Method(DEM)is combined with Computational Fluid Dynamics(CFD)to investigate industrial systems such as quicklime production in lime shaft kilns.We show that,based on proper orthogonal decomposition and Galerkin projection,reduced models can be derived for single particles that provide the same spatial and temporal resolution as the original PDE models at a considerably reduced computational cost.Replacing the finite volume particle models with the reduced models results in an overall reduction of the reactor simulation time by about 40%for the sample system treated here.展开更多
基金funded by the Deutsche Forschungsgemeinschaft(DFG,German Research Foundation)–Project-ID 422037413–TRR 287.(Gefördert durch die Deutsche Forschungsgemeinschaft(DFG)–Projektnummer 422037413–TRR 287).
文摘Intraparticle models of thermal processes are essential in the Discrete Element Method (DEM) when particles are thermally thick. Accurately solving the intraparticle conservation equations using the finite volume method requires sufficient spatial and temporal resolution, increasing simulation cost. This short communication proposes to replace the finite volume method (FVM) by a novel tabulated model that reduces the computational effort without compromising accuracy. The look-up database is generated from a set of single-particle simulations under different boundary conditions using the FVM. To assess the capability of the tabulated model to reproduce the results of the finite volume method, another single particle case with periodic functions for the fluid temperature is simulated. Results showed that tabulation provides accurate predictions while reducing computational cost by a factor of 3–10.
文摘We treat the accurate simulation of the calcination reaction in particles,where the particles are large and,thus,the inner-particle processes must be resolved.Because these processes need to be described with coupled partial differential equations(PDEs)that must be solved numerically,the computation times for a single particle are too high for use in simulations that involve many particles.Simulations of this type arise when the Discrete Element Method(DEM)is combined with Computational Fluid Dynamics(CFD)to investigate industrial systems such as quicklime production in lime shaft kilns.We show that,based on proper orthogonal decomposition and Galerkin projection,reduced models can be derived for single particles that provide the same spatial and temporal resolution as the original PDE models at a considerably reduced computational cost.Replacing the finite volume particle models with the reduced models results in an overall reduction of the reactor simulation time by about 40%for the sample system treated here.
