ESDV - Environmental Software & Digital Visualization

- Version 1.0 - CFD Software for Quasi 3D Refinedly Modeling

The current quasi 3D simulation software of the world market (such as SOBEK and MIKE, etc.) failed to reflect the recent progress of turbulence model theory, and only can provide users with a traditional depth-averaged turbulence k-ε model with more than 40 years. The developed refined simulation software Q3drm1.0, however, is the only advanced computational fluid dynamics (CFD) software in the world that can provide users with three depth-integral (depth-averaged) two-equation turbulence models to close quasi 3D hydrodynamic model (shallow waters model). Providing multiple two-equation turbulence model closures, which is in line with the development trend of CFD software, not only enables users to make full use of the new achievements of turbulence model theory, but also greatly improves the reliability of users’ calculation results.

Depth-averaged two-equation closure turbulence models:

Depth-averaged k-ε Model, which was offered by McGuirk and Rode from ‘standard’ k-ε in 1977.

Depth-averaged k-w Model, which was build by the author of this software in his 1988’s PhD Thesis, according to the ‘standard’ k-w model, proposed by Ilegbusi and Spalding in 1982.

Depth-averaged k-ω Model, which was established by the same author in 2009, according to the famous ‘standard’ k-ω model, proposed by Saffman but popularized by Wolcox in 1998.


Q3drm1.0 can be used to simulate, predict and analyze various scientific and engineering problems in shallow waters, such as open channels, the middle and lower reaches of rivers, lakes, reservoirs, cooling pools, estuaries and coastal arears. These problems are closely related to flow, mixing, and the discharges and transports of contaminants and waste heat, e. g. river pollutions, accidental discharges, water resources security, water environment protect, environmental engineering/assessment, comparison between different schemes for water supply and drainage, as well as the impact analysis of discharges on channel safety and so on (covering water conservancy, environment, energy, port and waterway, civil engineering and other fields).

●To solve iteratively the hydrodynamic fundamental governing equations through FVA and spatially collocated variable arrangement on non-orthogonal body-fitted multi-grid.

●Single-layer or multi-layer grids may be smooth/non-smooth; transverse grid nodes may be uniform/non-uniform; and grids may be orthogonal/non-orthogonal.

●Inlets with uniform/non-uniform velocity distributions, conventional outlet, wall and symmetry boundaries (open boundary).

●To provide users with a function of trial calculation for determining the depth-averaged velocity profile at the mainstream entrance section on each layer grid,which obeys the exponential distribution.

●In addition to conventional wall-functions for vertical bank boundary, Q3drm1.0 software also provide the skills for estimating approximately the wall-functions in the regions with sloping bank.

●The software focus on the refined simulations of flows and contaminant transports in complex shallow waters, including meandering riverbanks, multiple islands and bifurcated inlet.

●The software can deal with various discharge schemes of pollutant and waste heat, encountered frequently in engineering, including side-discharge, point-source discharge and point-sink, as well as area-source discharge from the slope along bank.

●Users can observe the bottom topography and generated grids by using section browser and grid browser;and display and analyze the calculated results by using profile browser, field browser and 3-D browser, respectively.

●Users can analyze and compare the distributions of numerical results along specified grid lines, calculated by using different turbulence closure models.

●Q3drm1.0 software provide 16 repeatable computational examples to users, for which the simulations by using three depth-averaged two-equation closure turbulence models have been carried out on coarse and fine two-layer's grids.

Book: see 'ESDV - Publications'.


1.       * L. Yu & J. Yu, “Environmental Flow and Contaminant Transport Modeling in The Amazonian Water System by Using Q3drm1.0 Software”, International Journal of Research – Granthaalayah, 2017, 5(12), pp. 377-391. DOI: 10.5281/zenodo.1145718。


2.       * L. YuJun Yu, Refined Numerical Simulation of Environmental Flow, Mixing and Transport in Amazon River Near Manaus City Closed by Multiple Turbulence Models, International Journal of Discrete Mathematics. 2017, 2(3), pp. 68-79. doi: 10.11648/j.dmath.20170203.13

3.       * L. Yu, Quasi 3D Refined Simulation of Flow and Pollutant Transport, Caused by Five-Port Diffuser and Side-Discharge in A River --- By Using Three Depth-Integrated Two-Equation Turbulence Models and Multi-Grid Iterative Method, International Journal of Original Research, 2016, 2(2), 91-104.

4.       * L. Yu, Quasi 3D Refined Simulation of Flow and Pollutant Transport in The Mississippi River near The Rock Lake, Afro Asian J SciTec, 2014, 1(1), 10-22.

5.       * L. Yu, Quasi 3D Refined Simulation of Flow and Pollutant Transport in The Yangtze River. Review of Computer Engineering Research, March 2014, l(1),1-18.

6.       * L. Yu, Numerical Simulations of Flow and Contaminant Transport Using Multiple Depth-Integrated Two-Equation Turbulence Models in The Yangtze River near The Nanjing City, International Journal of Mathematics and Engineering Research, June 2013, l(1), 001-013.

7.       * L. Yu, Quasi 3D refined simulation of flow and pollutant transport in a meandering river reach, Journal of Environmental Science and Water Resources, March 2013, 2(2): 027-039, ISSN 2315 7259.

8.        * L. Yu, “Flow and Contaminant Transport Simulations of the Solimões River Using Three Depth-Averaged Two-Equation Closure Turbulence Models”, International Journal of Water Resources and Environmental Engineering, 2012, 4(12): 363-376, ISSN 2141 6613 [doi: 10.5897/IJWREE11.120].

9.       * L. Yu, “Flow and Transport Simulation of The Madeira River using three Depth-Averaged Two-Equation Closure Turbulence Models”, Water Science and Engineering, 2012, 5(1):11-25, ISSN: 1764-2370, [doi:10.3882/j.issn.1674-2370.2012.01.002].

10.    * L. Yu & J. Yu, “Numerical Research on Flow and Thermal Transport by Using Three Turbulence Depth-Averaged Models in a Cooling Pool of Electrical Power Station”, Water Science and Engineering, 2009, 2(3):1-12, ISSN: 1764-2370, [doi: 10.3882/j.issn.1674-2370.2009.03.001].



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