scholarly journals Development of an Advection-diffusion Model Using Depth-integrated Equations Based on GPU Acceleration

2021 ◽  
Vol 21 (1) ◽  
pp. 281-289
Author(s):  
Sooncheol Hwang ◽  
Sangyoung Son
Keyword(s):  
Finite Difference ◽  
Finite Volume ◽  
Transport Model ◽  
Finite Difference Methods ◽  
Scalar Transport ◽  
Gpu Acceleration ◽  
Advection Diffusion Equation ◽  
Benchmark Tests ◽  
Advection Diffusion ◽  
Proposed Model

A scalar transport model is developed by adding a depth-averaged advection-diffusion equation to Celeris Advent, which is a Boussinesq-type numerical model that utilizes GPU acceleration. The hybrid finite volume-finite difference method is used to guarantee numerical stability along with the high accuracy of the Boussinesq equation. The advective and diffusive terms are numerically discretized using the finite volume and finite difference methods, respectively. Results of a one-dimensional scalar advection benchmark test showed that the scalar advection by the proposed model was very close to the analytical solution without any remarkable numerical diffusion. In addition, two benchmark tests using experimental data from different hydraulic experiments were numerically reproduced, and the computed results and observed data for scalar transport were found to be in good agreement. The developed model is expected to contribute to real-time disaster prediction for contaminant spills and can assist in preparing countermeasures for these types of disasters.

scholarly journals Comparison of Finite Difference and Finite Volume Simulations for a Sc-Drying Mass Transport Model

Gels ◽  
2020 ◽  
Vol 6 (4) ◽  
pp. 45
Author(s):  
Ilka Selmer ◽  
Patricio Farrell ◽  
Irina Smirnova ◽  
Pavel Gurikov
Keyword(s):  
Finite Difference ◽  
Mass Transport ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Transport Model ◽  
Finite Difference Methods ◽  
Packed Bed ◽  
Mass Transport Model ◽  
Difference Methods ◽  
Volume Method

Different numerical solutions of a previously developed mass transport model for supercritical drying of aerogel particles in a packed bed [Part 1: Selmer et al. 2018, Part 2: Selmer et al. 2019] are compared. Two finite difference discretizations and a finite volume method were used. The finite volume method showed a higher overall accuracy, in the form of lower overall Euclidean norm (l2) and maximum norm (l∞) errors, as well as lower mole balance errors compared to the finite difference methods. Additionally, the finite volume method was more efficient when the condition numbers of the linear systems to be solved were considered. In case of fine grids, the computation time of the finite difference methods was slightly faster but for 16 or fewer nodes the finite volume method was superior. Overall, the finite volume method is preferable for the numerical solution of the described drying model for aerogel particles in a packed bed.

scholarly journals A GPU-ACCELERATED MODELING OF SCALAR TRANSPORT BASED ON BOUSSINESQ-TYPE EQUATIONS

2020 ◽  
pp. 11
Author(s):  
Sooncheol Hwang ◽  
Sangyoung Son ◽  
Patrick J. Lynett
Keyword(s):  
Diffusion Equation ◽  
Transport Model ◽  
Boussinesq Equations ◽  
Scalar Transport ◽  
Interactive System ◽  
Type Model ◽  
Model Parameters ◽  
Boussinesq Model ◽  
Advection Diffusion Equation ◽  
Advection Diffusion

This paper describes a two-dimensional scalar transport model solving advection-diffusion equation based on GPU-accelerated Boussinesq model called Celeris. Celeris is the firstly-developed Boussinesq-type model that is equipped with an interactive system between user and computing unit. Celeris provides greatly advantageous user-interface that one can change not only water level, topography but also model parameters while the simulation is running. In this study, an advection-diffusion equation for scalar transport was coupled with extended Boussinesq equations to simulate scalar transport in the nearshore.Recorded Presentation from the vICCE (YouTube Link): https://youtu.be/aHvMmdz3wps

scholarly journals Influence of Chemical Osmosis on Solute Transport and Fluid Velocity in Clay Soils

2020 ◽  
Vol 18 (1) ◽  
pp. 232-238
Author(s):  
Zhihong Zhang ◽  
Gailei Tian ◽  
Lin Han
Keyword(s):  
Solute Transport ◽  
Transport Model ◽  
Fluid Velocity ◽  
Diffusion Mechanism ◽  
Clay Material ◽  
Chemical Osmosis ◽  
Advection Diffusion Equation ◽  
Test Study ◽  
Proposed Model ◽  
Membrane Effect

AbstractSolute transport through the clay liner is a significant process in many waste landfills or unmanaged landfills. At present, researchers mainly focus on the test study about semi-membrane property of clay material, however, the influence of chemical osmosis caused by membrane effect on solute transport and fluid velocity is insufficient. In this investigation, based on the classical advection-diffusion equation, a one-dimensional solute transport model for low-permeable clay material has been proposed, in which the coupled fluid velocity related with hydraulic gradient and concentration gradient is introduced, and the semi-membrane effect is embodied in the diffusion mechanism. The influence of chemical osmosis on fluid velocity and solute transport has been analyzed using COMSOL Multiphysics software. The simulated results show that chemical osmosis has a significant retarded action on fluid velocity and pollutant transport. The proposed model can effectively reveal the change in process of coupled fluid velocity under dual gradient and solute transport, which can provide a theoretical guidance for similar fluid movement in engineering.

scholarly journals Finite-Volume Multi-Stage Scheme for Advection-Diffusion Modeling in Shallow Water Flows

2011 ◽  
Vol 27 (3) ◽  
pp. 415-430 ◽  
Author(s):  
W.-D. Guo ◽  
J.-S. Lai ◽  
G.-F. Lin ◽  
F.-Z. Lee ◽  
Y.-C. Tan
Keyword(s):  
Shallow Water ◽  
Finite Volume ◽  
Coupled System ◽  
High Order Accuracy ◽  
Suspended Sediment Transport ◽  
Reconstruction Method ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Multi Stage ◽  
Stage Scheme

ABSTRACTThis paper adopts the finite-volume multi-stage (FMUSTA) scheme to the two-dimensional coupled system combining the shallow water equations and the advection-diffusion equation. For the convection part, the numerical flux is estimated by adopting the FMUSTA scheme, where high order accuracy is achieved by the data reconstruction using the monotonic upstream schemes for conservation laws method. For the diffusion part, the evaluations of first-order derivatives are solved via the method of Jacobian transformation. The hydrostatic reconstruction method is employed for treatment of source terms. The overall accuracy of resulting scheme is second-order both in time and space. In addition, the scheme is non-oscillatory and conserves the pollutant mass during the transport process. For scheme validation, six advection and diffusion transport tests are simulated. The influences of the grid spacing and limiters on the numerical performance are also discussed. Furthermore, the scheme is employed in the simulation of suspended sediment transport in natural-irregular river topography. From the satisfactory agreements between the simulated results and the field measured data, it is demonstrated that the proposed FMUSTA scheme is practically suitable for hydraulic engineering applications.

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