New Vortex Identification Method - $\Omega$ Method

Liu et al. proposed a new vortex identification method - $\Omega$ method, which has a relatively unique threshold $\Omega=0.52$ comparing with traditional $Q$ and $\lambda_2$ methods and is able to capture weak and strong vortices at the same time.

About CNSM

Message From Director

Dear Friend:

Welcome to the web page of the Center for Numerical Simulation and Modeling at the University of Texas at Arlington.

The Center for Numerical Simulation and Modeling (CNSM) at the University of Texas at Arlington is an interdisciplinary research group composed of faculty members from Mathematics, Statistics, Biology, Mechanical Engineering, Aerospace Engineering, Physics and other Departments.

CNSM uses resources to develop a nationally and internationally recognized center for world-class research, technology transfer, and innovative opportunities for higher education.

The center has actively encouraged world-class research on many challenging problems, such as high-order shock capturing scheme, adaptive grid generation, multigrid, parallelization, direct numerical simulation (DNS) and large eddy simulation (LES) for flow transition, turbulence,shock/boundary-layer interaction, cooling, combustion, chemical processing, design optimization, and environmental protection.

The NSM center is actively involved in a very strong PhD Program in Applied Mathematics in order to meet very positive job market needs from US industries.

Your interest in our research is highly appreciated.

Chaoqun Liu, PhD
Distinguished Professor and Director
Center for Numerical Simulation and Modeling


to create next-generation space weather simulator to improve forecasting, satellite tracking during storms

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Selected Publications

New theory on turbulence generation and structure—DNS and experiment

C. Liu and X. Cai, Sci. China Physics, Mech. Astron., vol. 60, no. 8, p. 84731, 2017.

DNS Study on Vortex and Vorticity in Late Boundary Layer Transition

Y. Wang, Y. Yang, G. Yang, and C. Liu, Commun. Comput. Phys., vol. 22, no. 2, pp. 441–459, Aug. 2017.

ILES for mechanism of ramp-type MVG reducing shock induced flow separation

Y. Yang, Y. Yan, and C. Liu, Sci. China Physics, Mech. Astron., vol. 59, no. 12, p. 124711, Dec. 2016.

New omega vortex identification method

C. Liu, Y. Wang, Y. Yang, and Z. Duan, Sci. China Physics, Mech. Astron., vol. 59, no. 8, p. 684711, Aug. 2016.

Physics of turbulence generation and sustenance in a boundary layer

C. Liu, Y. Yan, and P. Lu, Comput. Fluids, vol. 102, pp. 353–384, Oct. 2014.

DNS study on $\Lambda$-vortex and vortex ring formation in flow transition at Mach number 0.5

Y. Yan, C. Chen, H. Fu, and C. Liu, J. Turbul., vol. 15, no. 1, pp. 1–21, Jan. 2014.

DNS study on mechanism of small length scale generation in late boundary layer transition

P. Lu and C. Liu, Phys. D Nonlinear Phenom., vol. 241, no. 1, pp. 11–24, Jan. 2012.

Parallel DNS for vortex structure of late stages of flow transition

C. Liu and L. Chen, Comput. Fluids, vol. 45, no. 1, pp. 129–137, 2011.

Numerical study on mechanisms of second sweep and positive spikes in transitional flow on a flat plate

L. Chen and C. Liu, Comput. Fluids, vol. 40, no. 1, pp. 28–41, Jan. 2011.

Multigrid Mapping and Box Relaxation for Simulation of the Whole Process of Flow Transition in 3D Boundary Layers

C. Liu and Z. Liu, J. Comput. Phys., vol. 119, no. 2, pp. 325–341, Jul. 1995.

Meet The Team

Dr. Chaoqun Liu

Department of Mathematics

Dr. Guojun Liao

Department of Mathematics

Dr. Hristo V. Kojouharov

Department of Mathematics

Dr. Jianzhong Su

Department of Mathematics

Dr. Yue Deng

Department of Physics

Dr. James P Grover

Department of Biologyatics

Dr. Albert Y Tong

Department of Mechanical and Aerospace Engineering

Dr. Frank K Lu

Department of Mechanical and Aerospace Engineering

Department of Mathematics

Univerisity of Texas at Arlington

Department of Physics

Univerisity of Texas at Arlington

Department of Biology

Univerisity of Texas at Arlington

Department of Mechanical and Aerospace Engineering Department

Univerisity of Texas at Arlington

Get in Touch

Interested in CNSM? Contact us!

Contact Info

Center for Numerical Simulation & Modeling
Department of Mathematics
411 S. Nedderman Drive, 456 Pickard Hall
Arlington, Texas 76019-0408
P: 817.272.5151
F: 817.272.5802