Optimized diagonally implicit Runge-Kutta schemes for time-dependent wave propagation problems

Du, Yongle; Liu, Yanchen; Ekaterinaris, John A.

doi:10.1016/j.ast.2019.105343

Cited by 7 publications

(2 citation statements)

References 36 publications

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“…It is considered a robust and fast technique using groups of motivated rules for exploration. RKO has been used to solve the sensitive wave propagation problems [43]. The RKO depends mainly on maximizing its order to assure the solution accurateness and minimizing the number of phases to reduce the amount of the required calculations.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Performance Evaluation of Photovoltaic Three-Diode Model-Based Rung-Kutta Optimizer

et al. 2022

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This paper employs the Rung-Kutta optimizer (RKO) to investigate and analyze the dynamic performance of PV units represented using three-diode model (TDM). The paper can be categorized into three phases; In phase one, efforts are exerted to adapt the proposed optimizer RKO for extracting the optimal unknown parameters of the TDM for two widely used PV units namely PWP201/36 and STM6-40/36 modules. In the second phase, comprehensive comparisons between different recent well-known and challenging optimizers such as interior search algorithm, heap-based optimizer, artificial ecosystem-based optimizer, particle swarm optimizer and many more versus the RKO to indicate its effectiveness and viability. It can be confirmed after fair investigations that the RKO generates the lowest value of the root mean square errors (i.e. 2.050683 mA and 1.712171 mA for TDM PWP201/36 and TDM STM6-40/36 modules, respectively) In addition to that, other comparisons between one-, two-and three-diode models (i.e. SDM, DDM and TDM) using the RKO and other optimizers are made. Lastly, the optimal cropped parameters of the PWP201/36 module are used to create a full Simulink model when it is loaded by switched reluctance motor to analyze and study the dynamic performance of this PV module as a representative case under varied loading scenarios. Many parameters in regards to the SRM and behavior of the PV unit are traced and expansively discussed. It can be stated that the investigated results and comparisons indicate apparently the viability of the RKO improving the PV performance and suggests it to tackle other engineering optimization problems.INDEX TERMS Models of solar generating units, parameters' extraction, optimization methods, dynamic performance assessments, switched reluctance motor.

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Section: Introductionmentioning

confidence: 99%

Dynamic Performance Evaluation of Photovoltaic Three-Diode Model-Based Rung-Kutta Optimizer

et al. 2022

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“…14,15 The high precision time discretization method can increase the size of time-step and reduce the calculation time. 16,17 Non-reflective boundary conditions can reduce the influence of non-physical reflection waves on the accuracy of calculation results. 18 With the improvement of this underlying theory, the computational aeroacoustics method is used to study the acoustic propagation characteristics, such as turbofan noise, 19 aft-fan noise, 20 open rotor noise, 12 and landing gears noise.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on the noise propagation characteristics of rotor in non-uniform downwash flowfield Based on Linearized Euler Equations

Yang

Chen

Zhao

et al. 2022

International Journal of Aeroacoustics

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To study the influence of non-uniform flowfield on the propagation characteristics of helicopter rotor noise, a Hybrid Computational Aeroacoustics (HCAA) method is developed. The acoustic source region is simulated by Computational Fluid Dynamics (CFD) technique with the Unsteady Reynolds Averaged Navier-Stokes equations (URANS) as the governing equations. Acoustic near-field is simulated by Computational Aeroacoustics (CAA) technique with the Linearized Euler Equations (LEE) as the governing equations, and the numerical discretization of the LEE is accomplished by Runge-Kutta Discontinuous Galerkin (RKDG) method. A novel acoustic source extraction method based on pressure and pressure gradient is proposed to accomplish the one-way CFD-CAA weak coupling. The HCAA method is validated through comparisons with noise experimental data of the UH-1H model rotor and the BO-105 model rotor. Based on the proposed HCAA method, the convection and refraction effects of rotor noise under different collective pitch angles are analyzed. The results show that the distortion effect of the rotor noise is most affected by the non-uniformly distributed downwash velocity field, resulting in an increment of acoustic energy below the rotor plane. The effect of non-uniformly distributed downwash velocity on noise propagation increases with the increase of the collective pitch angle. For the UH-1H model rotor, the maximum change of the sound pressure level is 0.8 dB (about 10% change of the effective sound pressure).

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A strongly S-stable low-dissipation and low-dispersion Runge-Kutta scheme for convection diffusion systems

Liu

2019

Aerospace Science and Technology

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Optimized diagonally implicit Runge-Kutta schemes for time-dependent wave propagation problems

Cited by 7 publications

References 36 publications

Dynamic Performance Evaluation of Photovoltaic Three-Diode Model-Based Rung-Kutta Optimizer

Dynamic Performance Evaluation of Photovoltaic Three-Diode Model-Based Rung-Kutta Optimizer

Numerical study on the noise propagation characteristics of rotor in non-uniform downwash flowfield Based on Linearized Euler Equations

A strongly S-stable low-dissipation and low-dispersion Runge-Kutta scheme for convection diffusion systems

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