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Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2022, 17(10): 101005.
Paper No: CND-21-1358
Published Online: June 22, 2022
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2022, 17(10): 101004.
Paper No: CND-21-1167
Published Online: June 22, 2022
Image
in Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 1 The computations of one step advance of fourth-order method The computations of one step advance of fourth-order method More
Image
in Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 2 Gyroscope with different stabilization parameters β the position ( a ), velocity ( b ), and acceleration ( c ) along the x -direction, calculated by RKC and ESERK integrators, compared to generalized- α integrator and verified by ADAMS model Gyroscope with different stabilization para... More
Image
in Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 3 Gyroscope with different stabilization parameters β : the local rotational parameters calculated by RKC and ESERK integrators Gyroscope with different stabilization parameters β: the local rotational parameters calculated by RKC and ESERK integrators More
Image
in Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 4 Gyroscope with different stabilization parameters β : the constraints calculated by RKC and ESERK integrators, compared to generalized- α integrator Gyroscope with different stabilization parameters β: the constraints calculated by RKC and ESERK integrators, compared to generalized-α in... More
Image
in Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 5 Gyroscope with different stabilization parameters β : the derivative of constraints calculated by RKC and ESERK integrators, compared to generalized- α integrator Gyroscope with different stabilization parameters β: the derivative of constraints calculated by RKC and ESERK integrators, ... More
Image
in Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 6 Orthogonal Bricard mechanism Orthogonal Bricard mechanism More
Image
in Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 7 Bricard mechanism with different stabilization parameters β : the position vector of joint 4 calculated by RKC and ESERK integrators, compared to generalized- α integrator Bricard mechanism with different stabilization parameters β: the position vector of joint 4 calculated by RKC and E... More
Image
in Stabilized Explicit Integrators for Local Parametrization in Multi-Rigid-Body System Dynamics
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 8 Bricard mechanism with different stabilization parameters β : the first two constraints (top) and their time derivative (bottom) at joint 4 calculated by RKC and ESERK integrators, compared to generalized- α integrator Bricard mechanism with different stabilization parameters β: the fir... More
Image
in A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 1 Comparison of numerical schemes over spatial variable using N y = 40 , N t = 100 , α = 1 Comparison of numerical schemes over spatial variable using Ny=40, Nt=100, α=1 More
Image
in A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 2 Comparison of numerical schemes over iterations using N y = 40 , N t = 100 , t f = 1 , α = 1 Comparison of numerical schemes over iterations using Ny=40, Nt=100, tf=1, α=1 More
Image
in A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 3 Impact of Prandtl and Schmidt numbers on temperature and concentration profiles using N y = 40 , N t = 300 , α = 1 , E c = 0.4 , D f = 0.1 , S r = 0.1 Impact of Prandtl and Schmidt numbers on temperature and concen... More
Image
in A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 4 Impact of α on velocity profile using N y = 40 , N t = 100 Impact of α on velocity profile using Ny=40, Nt=100 More
Image
in A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 5 Variation of α on temperature and concentration profiles using N y = 40 , N t = 100 , P r = 1 , S c = 1 , E c = 0.4 , D f = 0.1 , S r = 0.1 Variation of α on temperature and concentrat... More
Image
in A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 6 Contour for velocity profile of Stokes second problem using N y = 40 , N t = 400 , L = 27 , α = 0.9 Contour for velocity profile of Stokes second problem using Ny=40, Nt=400, L=27, α=0.9 More
Image
in A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 7 Contour plot for temperature profile of Stokes second problem using N y = 40 , N t = 400 , L = 27 , α = 0.9 , P r = 4 , S c = 1.9 , E c = 4 , D f = 0 , S r = 0 Contour plot for te... More
Image
in A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 8 ( a ) Surface plots velocity, ( b ) streamlines, ( c ) surface plots for temperature, and ( d ) isothermal contours using U w = 1 , T w = 1 , τ = 1 (a) Surface plots velocity, (b) streamlines, (c) surface plots fo... More
Image
in A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 9 ( a ) Surface plots velocity, ( b ) streamlines, ( c ) surface plots for temperature, and ( d ) isothermal contours using U w = 1 , T w = 1 , τ = 5 (a) Surface plots velocity, (b) streamlines, (c) surface plots fo... More
Image
in A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
> Journal of Computational and Nonlinear Dynamics
Published Online: June 22, 2022
Fig. 10 ( a ) Surface plots velocity, ( b ) streamlines, ( c ) surface plots for temperature, and ( d ) isothermal contours using U w = 1 , T w = 1 , τ = 10 (a) Surface plots velocity, (b) streamlines, (c) surface plots ... More