University of Central Arkansas
Department of Mathematics
201 Donaghey Ave., Conway, AR 72035
Office: MCS 236
Phone: (501)450-5684
E-mail:  ydong5@uca.edu

Employment

Education

Tuscaloosa, AL
05/2011

Tuscaloosa, AL
05/2011

Research Interests

High Order Numerical Methods Vortex
Visualization Methods Deformation
Method for Grid Generation Weak
Galerkin Finite Element Method

Grants

2023 Summer Stipend, University Research Council, University of Central Arkansas

2020-2021 URC Faculty Research Grant, University of Central Arkansas

2019 Summer Stipend, University Research Council, University of Central Arkansas

2018-2019  Student  Undergraduate  Research  Fellowship  (SURF)  Program,  faculty  mentor, Arkansas Department of Higher Education

Publications

Quantitative experimental research on vortex generation and self-maintenance mechanisms in turbulence, Physics of Fluids 35, 055118, 2023

Investigation of Vortex Motion Mechanism of Synthetic Jet in a Crossflow, AIP Advances 12,
035045, 2022

An Adaptive Moving Grid Finite Difference Method, Journal of Computational Methods in Sciences and Engineering, 21(5): 1-11, 2021

A Weak Galerkin Harmonic Finite Element Method for Laplace Equation, Communications on Applied Mathematics and Computation, 3: 527-543, 2021

On the Thresholds of Vortex Visualization Methods, International Journal of Computational Fluid Dynamics, 34(4): 267-277, 2020

POD Analysis on Vortical Structures in MVG Wake by Liutex Core Line Identification, Journal of Hydrodynamics, 32(3): 497-509, 2020

Matrix Form of Deriving High Order Schemes for the First Derivative, Baghdad Science Journal,
17(3): 1041-1048, 2020

Conference Proceedings

Rules of Tensor and Matrix Operation for Liutex Calculation, Liutex and Third Generation of
Vortex Identification, Workshop from Aerospace and Aeronautics World Forum 2021, 35-43

LES Study on Structure Characteristics of Shock/Vortex Ring Interaction, 56th AIAA Aerospace
Sciences Meeting, AIAA 2018-1530

Numerical Investigation on the Oblique Shock and High-speed Vortex Rings Interaction, 55th
AIAA Aerospace Sciences Meeting, AIAA 2017-0137

DNS Study on Three Vortex Visualization Methods, 55th AIAA Aerospace Sciences Meeting, AIAA 2017-0490

Analysis on Λ-vortex Development in a Transitional Boundary Layer, 54th AIAA Aerospace
Sciences Meeting, AIAA 2016-0326

Construction  Methodology  of  Weighted  Upwind  Compact  Scheme,  54th  AIAA  Aerospace
Sciences Meeting, AIAA 2016-2061

Determination of Epsilon for Omega Vortex Identification Method, Journal of Hydrodynamics,
30(4): 1-9, 2018

New  Visualization  Method  for  Vortex  Structure  in  Turbulence  by  Lambda2  and  Vortex
Filaments, Applied Mathematical Modelling, 40(1): 500-509, 2016

Conference Presentations

Seminar Presentations

Graduate Students Research

Mason Boone, Mathematics Graduate
Project:
Fall 2023: Finite Difference Method for the Wave Equation

Garrott Granholm, Mathematics Graduate
Project:
Summer 2023: Comparison of Iterative Techniques for Solving a System of Equations

Nathaniel Gregg, Mathematics Graduate
Thesis:
2020-2021: An Adaptive Moving Mesh Method in Three Dimensions
Project:
Summer 2020: Compact Finite Difference Methods for Boundary Value Problems
Presentation:
2021 CNSM Symposium: Spectral-like Finite Difference Schemes for Boundary Value Problems

Undergraduate Students Research

Sarah Friedman, Chemistry Major
Project:
Summer 2020: Helping Fight Chagas Disease with a Mathematical Model

Monica Davanzo, Mathematics Major
Grant:
2018-2019 Student Undergraduate Research Fellowship (SURF) Program, Weak Galerkin Finite
Element Method for Poisson’s Equations on Quadrilateral Grids
Project:
Summer 2018: Solving Differential Equations Using Buffered Fourier Spectral Method
Conferences:
July 2019: MAA MathFest Student Paper Session, Cincinnati, OH
January 2019: MAA Undergraduate Student Poster Session, JMM, Baltimore, MD November 2018: 14th MAKO Undergraduate Math Research Conference, Missouri State University, Springfield, MO
Position after graduation:
PhD program in Mathematics, University of Arkansas

Honors and Awards

Recognition for Efforts to Obtain External Funding for Creative Activities, Scholarship, and
Research
Sponsored Programs, UCA, July 2018 – June 2019

Recognition of Successful Completion of, and Professional Growth as a Protégé in, the Minority
Faculty Mentoring Initiative
Office of Institutional Diversity, UCA, May 2018

Recognition of Achievement in Teaching Excellence – Pedagogy
Center for Teaching Excellence, UCA, April 2018

Faculty Development Grant
Center for Teaching Excellence, UCA, November 2017

2017 SIAM Student Travel Award
Society for Industrial and Applied Mathematics

2017 JMM Grad Student Travel Grant
American Mathematical Society

2016-2017 Stephen R. Bernfeld Memorial Scholarship
Department of Mathematics, University of Texas at Arlington

Committees

Graduate Committee Coordinator, 08/2023 – present Recruitment and Retention Committee, 08/2023 – present Diversity, Equity and Inclusion Committee, 08/2020 – present Technology Committee, 08/2018 – present
Applied Mathematics Committee, 08/2017 – present

College Research Committee, 08/2017 – 05/2020

Graduate Student Thesis Committee Chair

Nathaniel Gregg, Summer 2021
Thesis: An Adaptive Moving Mesh Method in Three Dimensions

Graduate Student Thesis Committee

Dylan Killough, Summer 2021
Thesis: Symmetry in Nonlinear Finite Elasticity – Plane Deformations of Incompressible
Materials

Travis Chism, Summer 2021
Thesis: Symmetry Classification of 2D Transformations of Hyperelastic Compressible Materials

Andrea Weaver, Spring 2020
Thesis: First Integrals in Finite Elasticity

Jason Yingling, Summer 2019
Thesis: Multiple Imputation of Missing Data via Gradient Boosted Trees

Kenneth Jumper, Summer 2019
Thesis: Symmetry Analysis of a Fourth Order Nonlinear Partial Differential Equation

Undergraduate Student Thesis Committee

Azaryah Wilson, Honors College, Spring 2018
Thesis: A PDE Method for Population Movement in an Epidemic