Papers in progress
11. M. Gunzburger, N. Jiang and F. Xu, A Closure Model Based On Fractional Laplacian for Turbulent Fluid Flows, in preparation, 2016.
10. M. Gunzburger, N. Jiang and M. Schneier, An Ensemble-Proper Orthogonal Decomposition Method for The Nonstationary Navier-Stokes Equations, submitted, 2016.
9. 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, in press, 2016. pdf
8. 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, in press, 2016. pdf
Papers published7. 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, Unconditional Stability of A Crank-Nicolson Leap-Frog Stabilization and 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
updated Jan 2016