Publications

20. N. Jiang, W. Layton, M. McLaughlin, Y. Rong and H. Zhao, On The Foundations of Eddy Viscosity Models of Turbulence, Fluids, 5 (2020), 167. pdf

19. D. Han and N. Jiang, A Second Order, Linear, Unconditionally Stable, Crank-Nicolson-Leapfrog Scheme for Phase Field Models of Two-Phase Incompressible Flows, Applied Mathematics Letters, 108 (2020), 106521. pdf

18. X. He, N. Jiang and C. Qiu, An Artificial Compressibility Ensemble Algorithm for a Stochastic Stokes-Darcy Model with Random Hydraulic Conductivity and Interface Conditions, International Journal for Numerical Methods in Engineering, 121 (2020), 712-739. pdf

17. N. Jiang, A Pressure-Correction Ensemble Scheme for Computing Evolutionary Boussinesq Equations, Journal of Scientific Computing, 80 (2019), 315-350. pdf

16. N. Jiang and C. Qiu, An Efficient Ensemble Algorithm for Numerical Approximation of Stochastic Stokes-Darcy Equations, Computer Methods in Applied Mechanics and Engineering, 343 (2019), 249-275. pdf

15. M. Gunzburger, N. Jiang and Z. Wang, A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems, Computational Methods in Applied Mathematics, 19 (2019), 681-701. pdf

14. M. Gunzburger, N. Jiang and Z. Wang, An Efficient Algorithm for Simulating Ensembles of Parameterized Flow Problems, IMA Journal of Numerical Analysis, 39 (2019), 1180-1205. pdf

13. N. Jiang and M. Schneier, An Efficient, Partitioned Ensemble Algorithm for Simulating Ensembles of Evolutionary MHD Flows at Low Magnetic Reynolds Number, Numerical Methods for Partial Differential Equations, 34 (2018), 2129-2152. pdf

12. M. Gunzburger, N. Jiang and F. Xu, Analysis and Approximation of A Fractional Laplacian-Based Closure Model for Turbulent Flows and Its Connection to Richardson Pair Dispersion, Computers and Mathematics with Applications, 75 (2018), 1973-2001. pdf

11. M. Gunzburger, N. Jiang and M. Schneier, A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for The Nonstationary Navier-Stokes Equations, International Journal of Numerical Analysis and Modeling, 15 (2018), 608-627. pdf

10. M. Gunzburger, N. Jiang and M. Schneier, An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations, SIAM Journal on Numerical Analysis, 55 (2017), 286-304. pdf

9. N. Jiang, A Second-order Ensemble Method Based on A Blended Backward Differentiation Formula Timestepping Scheme for Time-dependent Navier-Stokes Equations, Numerical Methods for Partial Differential Equations, 33 (2017), 34-61. pdf

8. N. Jiang, M. Mohebujjaman, L. Rebholz and C. Trenchea, An Optimally Accurate Discrete Regularization for Second Order Timestepping Methods for Navier-Stokes Equations, Computer Methods in Applied Mechanics and Engineering, 310 (2016), 388-405. pdf

7. N. Jiang and W. Layton, Algorithms and Models for Turbulence Not At Statistical Equilibrium, Computers and Mathematics with Applications, 71 (2016), 2352-2372. pdf

6. N. Jiang, S. Kaya and W. Layton, Analysis of Model Variance for Ensemble Based Turbulence Modeling, Computational Methods in Applied Mathematics, 15 (2015), 173-188. pdf

5. N. Jiang, A Higher Order Ensemble Simulation Algorithm for Fluid Flows, Journal of Scientific Computing, 64 (2015), 264-288. pdf

4. N. Jiang and W. Layton, Numerical Analysis of Two Ensemble Eddy Viscosity Numerical Regularizations of Fluid Motion, Numerical Methods for Partial Differential Equations, 31 (2015), 630-651. pdf

3. N. Jiang and H. Tran, Analysis of A Stabilized CNLF Method with Fast Slow Wave Splittings for Flow Problems, Computational Methods in Applied Mathematics, 15 (2015), 307-330. pdf

2. N. Jiang, M. Kubacki, W. Layton, M. Moraiti and H. Tran, A Crank-Nicolson Leap-Frog Stabilization: Unconditional Stability and Two Applications, Journal of Computational and Applied Mathematics, 281 (2015), 263-276. pdf

1. N. Jiang and W. Layton, An Algorithm for Fast Calculation of Flow Ensembles, International Journal for Uncertainty Quantification, 4 (2014), 273-301. pdf