Tao Tang

Chinese Academy of Sciences

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Zhonghua Qiao

Hong Kong Polytechnic University

Akil Narayan

University of Utah

Weidong Zhao

Shandong University

Shu‐Lin Wu

Northeast Normal University

Jiang Yang

Southern University of Science and Technology

Ruo Li

Peking University

Liang Yan

Zhejiang University

Zhilin Li

Guizhou University

Li-Lian Wang

Nanyang Technological University

Ling Guo

Affiliated Hospital of Southwest Medical University

Cooperative Institutions

Chinese Academy of Sciences

University of Chinese Academy of Sciences

Academy of Mathematics and Systems Science

Peking University

Shandong University

Shanghai Jiao Tong University

Dalian University of Technology

University of Science and Technology of China

Zhejiang University

Wuhan University

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Second-order Godunov-type scheme for reactive flow calculations on moving meshes

Journal of Computational Physics (2005)

Boris N. Azarenok Tao Tang

Godunov's scheme

Adaptive Mesh Refinement

Ode

10.1016/j.jcp.2004.12.002

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Citations (37)

Polynomial spline collocation methods for the nonlinear basset equation

Computers & Mathematics with Applications (1989)

Hermann Brunner Tao Tang

Spline (mechanical)

Collocation (remote sensing)

Uniform convergence

Kernel (algebra)

Hermite spline

Orthogonal collocation

10.1016/0898-1221(89)90239-3

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Citations (35)

EVALUATION OF JOINT SEALANTS OF CONCRETE PAVEMENTS

A H Gurjar Tao Tang Dan G. Zollinger

Project 0-187 task 15 continued investigative efforts of project 1371. The project completed laboratory tests including relaxation tests, bond-strength tests, and fatigue tests for various sealant materials, and also established a field test site of a variety of joint sealants to monitor performance. The researchers constructed a material behavior model based on finite-deformation viscoelasticity as a function of temperature, deformation, and age effects. They studied the correlation between natural and artificial weathering and proposed a sealant performance model. Based on this model, this report provides a procedure for estimation of the service life of a sealant in concrete pavement joints. Material and pavement engineers can use this procedure for design and maintenance purposes. This report also proposes a specification and a test protocol for joint sealant materials, which incorporate performance prediction procedure. The proposed guidelines can be verified and refined through continuous observation of the field test sections. The researchers of the project expect that application of the research products from this project will lead to an improved sealant selection process and reduced maintenance cost for concrete pavements.

Service life

Source

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Citations (2)

Zinc-Doped 2d Nonlayered Indium Oxides for Room-Temperature Optoelectronic Sensing Performances: Focus on Zn Concentration and Sensing Mechanism

Yin Cheng Liang Cheng N. Ma Zhong Li Tao Tang

10.2139/ssrn.5108221

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Citations (0)

Efficient SVV stabilized triangular spectral element methods for incompressible flows of high Reynolds numbers

Advances in Aerodynamics (2022)

Lizhen Chen Tao Tang Chuanju Xu

Abstract In this paper, we propose a spectral vanishing viscosity method for the triangular spectral element computation of high Reynolds number incompressible flows. This can be regarded as an extension of a similar stabilization technique for the standard spectral element method. The difficulty of this extension lies in the fact that a suitable definition of spectral vanishing viscosity operator in non-structured elements does not exist, and it is not clear that if a suitably defined spectral vanishing viscosity provides desirable dissipation for the artificially accumulated energy. The main contribution of the paper includes: 1) a well-defined spectral vanishing viscosity operator is proposed for non-standard spectral element methods for the Navier-Stokes equations based on triangular or tetrahedron partitions; 2) an evaluation technique is introduced to efficiently implement the stabilization term without extra computational cost; 3) the accuracy and efficiency of the proposed method is carefully examined through several numerical examples. Our numerical results show that the proposed method not only preserves the exponential convergence, but also produces improved accuracy when applied to the unsteady Navier-Stokes equations having smooth solutions. Especially, the stabilized triangular spectral element method efficiently stabilizes the simulation of high Reynolds incompressible flows.

Spectral method

Tetrahedron

10.1186/s42774-021-00090-x

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Citations (1)

Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains

SIAM Journal on Numerical Analysis (2020)

Changtao Sheng Jie Shen Tao Tang Li-Lian Wang Huifang Yuan

In this paper, we propose a fast spectral-Galerkin method for solving PDEs involving an integral fractional Laplacian in $\mathbb{R}^d$, which is built upon two essential components: (i) the Dunford--Taylor formulation of the fractional Laplacian; and (ii) Fourier-like biorthogonal mapped Chebyshev functions (MCFs) as basis functions. As a result, the fractional Laplacian can be fully diagonalized, and the complexity of solving an elliptic fractional PDE is quasi-optimal, i.e., $O((N\log_2N)^d)$ with $N$ being the number of modes in each spatial direction. Ample numerical tests for various decaying exact solutions show that the convergence of the fast solver perfectly matches the order of theoretical error estimates. With a suitable time discretization, the fast solver can be directly applied to a large class of nonlinear fractional PDEs. As an example, we solve the fractional nonlinear Schrödinger equation by using the fourth-order time-splitting method together with the proposed MCF--spectral-Galerkin method.

Spectral method

Solver

Basis function

10.1137/19m128377x

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Citations (51)

A finite difference scheme for partial integro-differential equations with a weakly singular kernel

Applied Numerical Mathematics (1993)

Tao Tang

Smoothness

Kernel (algebra)

10.1016/0168-9274(93)90012-g

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Citations (190)

On Robust and Adaptive Finite Volume Methods for Steady Euler Equations

Springer proceedings in mathematics & statistics (2018)

Guanghui Hu Xucheng Meng Tao Tang

Multigrid method

Linearization

Robustness

Euler method

Adaptive Mesh Refinement

10.1007/978-3-319-91548-7_2

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Citations (0)

Pointwise Error Estimates for Scalar Conservation Laws with Piecewise Smooth Solutions

SIAM Journal on Numerical Analysis (1999)

Eitan Tadmor Tao Tang

We introduce a new approach to obtain sharp pointwise error estimates for viscosity approximation (and, in fact, more general approximations) to scalar conservation laws with piecewise smooth solutions. To this end, we derive a transport inequality for an appropriately weighted error function. The key ingredient in our approach is a one-sided interpolation inequality between classical L1 error estimates and Lip+ stability bounds. The one-sided interpolation, interesting for its own sake, enables us to convert a global L1 result into a (nonoptimal) local estimate. This, in turn, provides the necessary bounds on the coefficients of the above-mentioned transport inequality. Estimates on the weighted error then follow from the maximum principle, and a bootstrap argument yields optimal pointwise error bound for the viscosity approximation. Unlike previous works in this direction, our method can deal with finitely many waves with possible collisions. Moreover, in our approach one does not follow the characteristics but instead makes use of the energy method, and hence this approach could be extended to other types of approximate solutions.

Pointwise

Conservation law

Interpolation

10.1137/s0036142998333997

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Citations (33)

Moving Mesh Methods in Multiple Dimensions Based on Harmonic Maps

Journal of Computational Physics (2001)

Ruo Li Tao Tang Pingwen Zhang

Solver

T-vertices

Laplacian smoothing

Harmonic

10.1006/jcph.2001.6749

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Citations (205)