QINGHAI ZHANG

Research Assistant Professor
Department of Mathematics
155 S. 1400 E. Rm 233
University of Utah
Salt Lake City UT 84112-0090
qinghai at math dot utah dot edu

EDUCATION

Ph. D. in Computational Fluid Mechanics
Cornell University
Ithaca, NY

M. Engr. in Computational Fluid Mechanics
Tsinghua University
Beijing, China

B. Engr. in Hydraulic Engineering
Tsinghua University
Beijing, China

TEACHING

2012 Fall : Math 6610-001 Analysis Num Mthds I, guest lectures on multgrid methods.
Notes: the lean version, the longer version.

2013 Spring : Math 1321-004 Accelerated Engineering Calculus II .

2013 Fall : Math 5610/6860 Introduction to Numerical Analysis I .

2015 Spring : Math 5620/6865 Introduction to Numerical Analysis II .

RESEARCH INTERESTS

Large-scale scientific computing based on differential equations;
Complex multi-phase flows with multiple scales and multiple physics;
Navier-Stokes equations; Finite volume methods;
Adaptive mesh refinement; Parallel computing;
Interface tracking methods; Free-surface flow;
Fluid-structure interaction; Hybrid particle-continuum models;
Mathematical Biology

Link to my google scholar citations

Link to my ResearchGate profile (Most papers available there)

SELECTED PUBLICATIONS

Peer-Reviewed Journal Papers

22. Qinghai Zhang and Aaron Fogelson.
"MARS: An Analytic Framework of Interface Tracking via Mapping and Adjusting Regular Semi-algebraic Sets,"
SIAM J. Numer. Anal., in press, 2016

21. Qinghai Zhang.
"GePUP: Generic Projection and Unconstrained PPE for Fourth-order Solutions of the Incompressible Navier-Stokes Equations with No-slip Boundary Conditions,"
Journal of Scientific Computing, in press, 2015

20. Qinghai Zhang.
"On Generalized Donating Regions: Classifying Lagrangian Fluxing Particles through a Fixed Curve in the Plane",
Journal of Mathematical Analysis and Applications, 424(2): 861-877, 2015

19. Qinghai Zhang, Robert D. Guy, and Bobby Philip.
"A Projection Preconditioner for Solving the Implicit Immersed Boundary Equations.",
Numerical Mathematics: Theory, Methods, and Applications, 7(4): 473-498, 2014.

18. Qinghai Zhang and Aaron Fogelson.
"Fourth-order interface tracking in two dimensions via an improved polygonal area mapping method.",
SIAM J. Sci. Comput., 36(5): A2369-A2400, 2014.

17. Calvin Zhang, Robert D. Guy, Brian Mulloney, Qinghai Zhang, and Timothy J. Lewis.
"The Neural Mechanism of Optimal Limb Coordination in Crustacean Swimming.",
Proceedings of the National Academy of Sciences, 111(38): 13840-13845, 2014

16. Qinghai Zhang.
"A Fourth-order Approximate Projection Method for the Incompressible Navier-Stokes Equations on Locally-refined Periodic Domains.",
Applied Numerical Mathematics, 77(C):16-30, 2014.

15. Qinghai Zhang.
"On Donating Regions: Lagrangian Flux through a Fixed Curve.",
SIAM Review, 55(3):443-461, 2013.

14. Qinghai Zhang.
"On a family of unsplit advection algorithms for volume-of-fluid methods",
SIAM J. Numer. Anal., 51(5):2822-2850, 2013.

13. Qinghai Zhang.
"Highly Accurate Lagrangian Flux Calculation via Algebraic Quadratures on Spline-Approximated Donating Regions",
Comput. Methods Appl. Mech. Engrg., 264:191-204, 2013.

12. Qinghai Zhang, Hans Johansen, and Phillip Colella.
"A fourth-order accurate finite-volume method with structured adaptive mesh refinement for solving the advection-diffusion equation.",
SIAM J. Sci. Comput., 34(2):B179-B201, 2012.

11. Qinghai Zhang.
"High-order, multi-dimensional, and conservative coarse-fine interpolation for adaptive mesh refinement.",
Comput. Methods Appl. Mech. Engrg., 200(45-46):3159-3168, 2011.

10. Qinghai Zhang and Philip L.-F. Liu.
"Handling solid-fluid interfaces for viscous flows: explicit jump approximations vs. ghost cell approaches.",
Journal of Computational Physics, 229(11):4225-4246, 2010.

9. Qinghai Zhang and Philip L.-F, Liu.
"HyPAM : A hybrid continuum-particle model for incompressible free-surface flows",
Journal of Computational Physics, 228(4):1312-1342, 2009.

8. Qinghai Zhang and Philip L.-F. Liu.
"A New Interface Tracking Method : the Polygonal Area Mapping Method".
Journal of Computational Physics, 227(8):4063-4088, 2008.
(Top 25 Hottest Articles J. Comput. Phys. Jan.-Mar. 2008)

7. Qinghai Zhang and Philip L.-F, Liu.
"A numerical study of swash flows generated by bores",
Coastal Engineering, 55(12):1113-1134, 2008.

6. Chunbo Jiang, Kai Li, Ning Liu and Qinghai Zhang.
"Implicit Parallel FEM Analysis of Shallow Water Equations",
Tsinghua Science and Technology, 10(3):364-371, 2005.

5. Chunbo Jiang, Liqiu Chen and Qinghai Zhang.
"Parallel algorithm to analyze shallow water flow" (in Chinese),
Journal of Tsinghua University (Science and Technology), 42(11):1548-1551, 2002. pdf

4. Chunbo Jiang, Xiaomi An and Qinghai Zhang.
"2D Shallow Water Flow simulation using parallel arithmetic for FEM" (in Chinese),
Journal of Hydraulic Engineering, 5:65-68, 2002. pdf

3. Chunbo Jiang, Lihui Du and Qinghai Zhang.
"A fractional step finite element method based on Taylor expansion - stability and accuracy analysis" (in Chinese),
Journal of Hehai University (Natural Science), 29(6):99-102, 2001. pdf

2. Chunbo Jiang, Xiuying Xing and Qinghai Zhang.
"Fractional step finite element method for three dimensional incompressible flows" (in Chinese),
Journal of Tsinghua University (Science and Technology), 40(8):110-113, 2000. pdf

1. Chunbo Jiang, Qinghai Zhang and Zhongxin Gao.
"A 2-D unsteady flow model for predicting temperature and pollutant distribution in the vertical cross section of a river" (in Chinese),
Journal of Hydraulic Engineering, 9:20-24, 2000. pdf

Papers to Appear (selected)

21. Qinghai Zhang and Aaron Fogelson.
"MARS: An Analytic Framework of Interface Tracking via Mapping and Adjusting Regular Semi-algebraic Sets.",
revision submitted.

22. Qinghai Zhang.
"Flux Identities of Donating Regions in the Plane.",
submitted.

Conference Papers

23. Qinghai Zhang.
"A Mathematician's View on 'Three gives birth to innumerable things' ",
6th International Conference on Daoist Studies, June 3-6, 2010, Loyola Marymount University, Los Angeles.

24. Qinghai Zhang, "Classifying Lagrangian fluxing particles through a fixed curve for non-autonomous flows: Theory and applications.",
Mathematisches Forschungsinstitut Oberwolfach Report No. 04/2014 Mixing, Transport and Coherent Structures, pages 260-262,
Jan 26 - Feb 01, 2014, Oberwolfach, Germany

Open-Source Software

1. Qinghai Zhang.
"AMRCFI: A matlab package for coarse-fine interpolation in adaptive mesh refinement",
2011. http://amrcfi.sourceforge.net/

2. Qinghai Zhang.
"SADoRe: A MATLAB package for 2D donating region construction and Lagrangian flux computation",
2011. http://sadore.sourceforge.net/