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Showing 1 to 7 of 7 for “"4th Order Runge Kutta"”.
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Stability analysis of the 4th order Runge Kutta method in application to colloidal particle interactions
… of the stability limits of using the 4th order Runge Kutta method. By introducing the external forces as auxiliary functions, we were able to generate exact analytic solutions satisfying arbitrary hydrodynamic and interaction forces. This allowed rigorous comparison of the theoretical …
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Wave energy converter design via a time-domain Rankine panel method
… and performs the time-integration using a 4th order Runge-Kutta method. With the proposed code, two case studies are examined. The first consists of two gyroscopes, rotating in opposite directions, to negate undesirable yaw effects on the WEC's hull. The device's optimum PTO damping value …
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Numerical Simulation of Ion-Cyclotron Turbulence Generated by Artificial Plasma Cloud Release
… equations. Time integration is accomplished by a 4th-order Runge-Kutta scheme or predicator-corrector method. The numerical results show good agreement with theoretical prediction as well as provide further insights on the nonlinear turbulence evolution. Initially the turbulence lies near …
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A Method of Topology Optimization for Curvature Continuous Designs
… the final design stages. Designs with these low-order representations are insufficient for use in higher-order computational fluid dynamics methods, which are becoming more and more popular. With the push for the development of higher-order infrastructures, including higher-order grid generation …
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Effects of Interfaces and Interactions between Multiphase Flow and Solid on Engineering Structures
… engineering analyses are also investigated. The 4th-order Runge-Kutta method and a newly developed P-T method are studied and compared for their characteristics. Due to its inherent drawbacks found in the research, the Runge-Kutta method may cause information loss and lead to incorrect …
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A mathematical and computational exploration of the effect of the A-current in determining the activity phase of follower neurons
… representation of the biological PY neurons in order to investigate how the distribution of the A-current affects the activity phase. This model involves a set of 53 coupled nonlinear ordinary differential equations which are numerically integrated using a 4th order Runge-Kutta method. A Genetic …
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Inline disinfestation of canola seeds from red flour beetles using a 50-ohm RF technology
… of the thermal death of the adult T. castaneum. 4th order Runge-Kutta method was used to solve the ordinary differential equation (ODE) based kinetic model which has an Arrhenius temperature-dependent reaction rate constant. The thermal death kinetics of the adult T. castaneum followed first …