A new turbulence equation for eddy interactions: AI and physics team up to tackle notoriously difficult question

The currents of the oceans, the roiling surface of the sun, and the clouds of smoke billowing off a forest fire—all are ...

Seeing the whole from a part: Revealing hidden turbulent structures from limited observations and equations

The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in ...
Frontiers

Numerical solutions of the nonlinear Fisher’s equation using a one-level meshless method

1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...
IEEE

Generalized Surface-Integral-Equation-Based Sub-Structure Characteristic-Mode Solution to Composite Objects

Abstract: Characteristic mode analysis (CMA) is becoming a popular tool to analyze radiation and scattering problems. However, some preliminary studies revealed that the conventional full-structure ...
IEEE

Efficient Iterative Solution of Combined Source Integral Equation Using Characteristic Basis Function Method With Initial Guess

Abstract: Using only the RWG functions, the combined source integral equation (CSIE) with weak form combined source condition can achieve fine accuracy and fast iterative convergence for conductor ...
Frontiers

Convergence characteristics and acceleration of the transient fixed source equation solved by Monte Carlo method

1 Institute of Nuclear Physics and Chemistry, China Academy of Engineering Physics, Mianyang, China 2 Department of Engineering Physics, Tsinghua University, Beijing, China The safety analysis of ...
Scientific Research Publishing

Y. F. Xing and L. Bo, “Characteristic Equations and Closed-Form Solutions for Free Vibrations of Rectangular Mindlin Plates,” Acta Mechanica Solida Sinica, Vol. 22, No. 2 ...

ABSTRACT: Now the six-axis force sensor (6-AFS) is used widely, and as the core components, mechanical properties of its elastic bodies are significant. With the increase of dynamic loads, studies on ...
Scientific Research Publishing

The Characteristic Function Method and Its Application to (1 + 1)-Dimensional Dispersive Long Wave Equation ()

In this paper, the characteristic function method is applied to seek traveling wave solutions of nonlinear partial differential equations in a unified way. We consider the Wu-Zhang equation (which ...