Papers by Keyword: Taylor Series Expansion

Abstract: In this paper, a new fast multipole boundary element method is presented. By using Taylor series expansion and a new mapping in boundary cell, the efficiency of calculation about influence coefficients has been improved. Compare with the old fast multipole boundary element method, this new method is easier to be suitable for the large-scale numerical calculus request.

Abstract: The positioning technology has become one of the most popular studied objects since it has been implemented in many fields. With five reference nodes at least, linearization localization algorithm get an acceptable accuracy. With Taylor Series Expansion, we can overcome this shortcoming. First, we give the blind node an initial coordinate, then we expand the group of binary quadratic based on RSSI with Taylor Series at the point of initial coordinate, remove quadratic and higher, at last ,we apply iteration algorithm to estimate the real coordinate of blind node. Compared to the original, this new method can get a very good accuracy with only three reference nodes.

Abstract: Taylor series numerical method (TSNM) is extended to the field of transient heat conduction. Theoretical description of TSNM for transient heat conduction problems is presented. Furthermore, the algorithm is realized and embedded in commercial software ANSYS®. If a lumped mass heat capacity matrix provided, the governing equation of transient heat conduction problems, which is a differential equation, will be solved by a series of recursion calculation of Taylor expanding coefficients. A typical transient heat conduction problem with analytical solution was discussed to verify the TSNM. At last, the TSNM is applied in the transient heat analysis of an all-solid fiber optic gyro (FOG).

Abstract: Fast multipole boundary element method (FM-BEM) is applied in three-dimensional elastic contact problem, but the singular integral influence calculation efficient. How to solve singular integral is become an important problem for improving FM-BEM. In this paper, Taylor series expansion and Laplace transformation were introduced; it can be used to improve the singular integral. After Laplace transformation, the singular integral is written as exponential series form, which can be suit for fast multipole method. It is not only solving singularity, but also suit fast calculation. This method improves the calculation time and calculation accurate of FM-BEM.

Abstract: A life cycle assessment was carried out to estimate the environmental impact of industry waste as aggregate in cement production. To confirm and add credibility to the study, an uncertainty analysis was also carried out. Results showed the impact seen from climate change, human toxicity, marine eutrophication, marine ecotoxicity, and freshwater eutrophication categories had an important contribution to overall environmental impact, due to energy use and direct emissions from clinker and limestone production stages. The most significant substances contribute to the climate change is CO2 to air; for the human toxicity, it is Hg to air and Mn to water; for the marine eutrophication and marine ecotoxicity, it is nitrate and Ni to water, respectively; for the freshwater eutrophication, it is phosphorus to water. Increasing electricity recovery rate, optimizing the raw material consumption for clinker production are highly recommended to reduce the adverse impact on the environment, and therefore reduce the pressure on the environment from dramatically increased hazardous industry waste disposal.

Abstract: Based on fast multipole boundary element method (FM-BEM) and mixed variational inequality, a new numerical method named mixed fast multipole boundary element method (MFM-BEM) was presented in this paper for solving three-dimensional elastic-plastic contact problems. Mixed boundary integral equation (MBIE) was the foundation of MFM-BEM and obtained by mixed variational inequality. In order to adapt the requirement of fast multipole method (FMM), Taylor series expansion was used in discrete MBIE. In MFM-BEM the calculation time was significant decreased, the calculation accuracy and continuity was also improved. These merits of MFM-BEM were demonstrated in numerical examples. MFM-BEM has broad application prospects and will take an important role in solving large-scale engineering problems.