Yu Leng
Purdue University
Porous mediumMeshfree methodsChemistryGalerkin methodMethane reformerHydrogen productionThermalCollocation methodCollocationApplied mathematicsMathematicsSteam reformingHeat transferMethaneRate of convergenceConvergence (routing)DiscretizationThermal conductivityThermodynamicsKernel (statistics)
12Publications
6H-index
134Citations
Publications 8
Newest
#1Yu Leng (University of Texas at Austin)H-Index: 6
#2Xiaochuan Tian (University of Texas at Austin)H-Index: 12
Last. John T. Foster (University of Texas at Austin)H-Index: 17
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Abstract In this work, we study reproducing kernel (RK) collocation method for peridynamic Navier equation. In the first part, we apply a linear RK approximation to both displacement and dilatation, and then back-substitute dilatation and solve the peridynamic Navier equation in a pure displacement form. The RK collocation scheme converges to the nonlocal limit for a fixed nonlocal interaction length and also to the local limit as nonlocal interactions vanish. The stability is shown by comparing...
9 CitationsSource
#1Yu Leng (University of Texas at Austin)H-Index: 6
#2Xiaochuan Tian (University of Texas at Austin)H-Index: 12
Last. John T. Foster (University of Texas at Austin)H-Index: 17
view all 3 authors...
Abstract The reproducing kernel particle methods (RKPM) are meshfree methods arising in mechanics, especially in dealing with problems involving large deformation and singularities. We provide a theoretical analysis of super-convergence in Sobolev norms for reproducing kernel (RK) approximations when the interpolation order p is even. Super-convergence phenomenon means the convergence rate is higher than the order that is generally expected. We distinguish the continuous RK approximation and the...
7 CitationsSource
#1Yu LengH-Index: 6
#2Xiaochuan TianH-Index: 12
Last. John T. FosterH-Index: 17
view all 4 authors...
Reproducing kernel (RK) approximations are meshfree methods that construct shape functions from sets of scattered data. We present an asymptotically compatible (AC) RK collocation method for nonlocal diffusion models with Dirichlet boundary condition. The scheme is shown to be convergent to both nonlocal diffusion and its corresponding local limit as nonlocal interaction vanishes. The analysis is carried out on a special family of rectilinear Cartesian grids for linear RK method with designed ke...
8 Citations
#1Marco Pasetto (UCSD: University of California, San Diego)H-Index: 4
#2Yu Leng (University of Texas at Austin)H-Index: 6
Last. Pablo Seleson (ORNL: Oak Ridge National Laboratory)H-Index: 14
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Abstract The most common discretization method for peridynamic models used in engineering problems is the node-based meshfree approach. This method discretizes peridynamic domains by a set of nodes, each associated with a nodal cell with a characteristic volume, leading to a particle-based description of continuum systems. The behavior of each particle is then considered representative of its cell. This limits the convergence rate to the first order. In this paper, we introduce a reproducing ker...
18 CitationsSource
#1H. Arabnejad (TU: University of Tulsa)H-Index: 7
#2Yu Leng (TU: University of Tulsa)H-Index: 6
Last. Siamack A. Shirazi (TU: University of Tulsa)H-Index: 33
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1 CitationsSource
#1Fuqiang Wang (HIT: Harbin Institute of Technology)H-Index: 21
#2Zhennan Guan (HIT: Harbin Institute of Technology)H-Index: 1
Last. Yu Leng (TU: University of Tulsa)H-Index: 6
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Abstract A unsteady state thermochemical reaction model was developed by Monte Carlo Ray Tracing (MCRT) and Finite Volume Method (FVM) coupled for steam methane reforming in a porous medium thermochemical reactor. Concentrated solar irradiation was adopted as the source of high-temperature process heat. The transient state thermochemical reaction model combined conduction, convection, and irradiative heat transfer with temperature dependent thermochemical reactions. Along with modified P1 approx...
11 CitationsSource
#1Fuqiang Wang (HIT: Harbin Institute of Technology)H-Index: 21
#2Jianyu Tan (HIT: Harbin Institute of Technology)H-Index: 19
Last. Yu Leng (TU: University of Tulsa)H-Index: 6
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Abstract With the aid of solar energy, methane reforming process can save up to 20% of the total methane consumption. Monte Carlo Ray Tracing (MCRT) method and Finite Volume Method (FVM) combined method are developed to establish the heat and mass transfer model coupled with thermochemical reaction kinetics for porous medium solar thermochemical reactor. In order to provide more temperature information, local thermal non-equilibrium (LTNE) model coupled with P1 approximation is established to in...
29 CitationsSource
#1Fuqiang Wang (China University of Petroleum)H-Index: 21
#2Yong Shuai (HIT: Harbin Institute of Technology)H-Index: 25
Last. He-Ping Tan (HIT: Harbin Institute of Technology)H-Index: 32
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In order to investigate the thermochemical reaction performance of steam methane reforming (SMR), the steady heat and mass transfer model coupled with thermochemical reaction kinetics is developed for the volumetric porous media solar thermochemical reactor. The local non-thermal equilibrium (LNTE) model with modified P1 approximation is adopted to investigate the temperature distributions of the solid phase and fluid phase. For the solid phase energy equation, the irradiative heat transfer coup...
52 CitationsSource