ABSTRACT

Abstract ................................................................................................. 228 16.1 Introduction .................................................................................. 228 16.2.1 Basic Equations .............................................................. 232 16.2.2 Calculation of Breaks ..................................................... 234 16.2.3 Boundary Conditions on the Boundary of the Design

Volume and Their Application for Calculation of Constructions ... 235 16.3 Difference Schemes for Solving of the Heat Conduction

Equation .................................................................................... 236 16.3.1 Explicit Difference Schemes for the Heat Equation ...... 236 16.3.2 Calculation Algorithm of an Explicit Scheme ............... 238 16.3.3 Comments ...................................................................... 239 16.3.4 Implicit Scheme for the Heat Equation .......................... 240 16.3.5 Finite-Difference Numerical Shock-Capturing Methods

for Calculation of Temperature Fields in Two-Phase Media ....... 244 16.3.6 General Requirements for Finite-Difference Numerical

Schemes ....................................................................................... 245 16.3.7 Analysis of Methods and Algorithms, Numerical Scheme ...245 16.3.8 Approximation of Boundary Conditions ........................ 249 16.4 Simulation of Temperature Fields in a Material with Embedded

Nanotubes .................................................................................... 251 16.5 Conclusions .................................................................................. 256 Keywords .............................................................................................. 257 References ............................................................................................. 257

ABSTRACT

This chapter describes methods of temperature fields calculation in nanocompositional materials, which are considered as nanosystems with an appropriate medium. Mathematical models describing real physical processes are given. Calculate formulas for nanomaterials are offered.