Our proposals remove major deficiencies in using higher-order methods in two-phase multicomponent flow.
Uğurlu, A. Ergin, A hydroelasticity method for vibrating structures containing and/or submerged in flowing fluid, Journal of Sound and Vibration 290 (2006) 572–596] is extended by applying the direct boundary integral equation method, and by using a higher-order panel method (linear distribution).
Using these methods, higher-order approximations can also be obtained automatically.
The meshfree method and IGA are coupled using the higher-order consistency condition in the physical domain so that the higher-order continuity of basis functions is guaranteed, and the topological complexity of the global volumetric parameterization for IGA to build the 3D geometry can be overcome.
Stochastic stability of a fractional viscoelastic column axially loaded by a wideband random force is investigated by using the method of higher-order stochastic averaging.
The moment Lyapunov exponents and stochastic stability of a single-degree-of-freedom (SDOF) fractional viscoelastic system under bounded noise excitation are studied by using the method of higher-order stochastic averaging.
Then, we apply the proposed approximators to disturbance rejection in the first-order nonlinear control systems with periodically time-varying disturbances, but it is straightforward to extend the proposed design methods to higher-order systems by using adaptive backstepping technique.
Methods used to automate first-order deduction can be adapted to higher-order logic.
In the last proposed method we find higher-order matrices, using the and its weighted powers with for a better definition of the commuting matrix.
Numerical simulation of two-phase multicomponent flow in permeable media with species transfer between the phases often requires use of higher-order methods.
