Detail publikace

Parallelization MATLAB for Solving Problems in Heat Conduction with Phase Change

Originální název

Parallelization MATLAB for Solving Problems in Heat Conduction with Phase Change

Anglický název

Parallelization MATLAB for Solving Problems in Heat Conduction with Phase Change

Jazyk

en

Originální abstrakt

This paper deals with a suitable approach to parallelize the calculation of heat conduction with a phase change on multiple processors. The main reason of this is to speed up the solution time as much as possible. Various approaches how to solve these problems with the phase change can be used. In this paper we are dealing with the so-called enthalpy approach, which is based on the thermodynamic function of volume enthalpy. The heat conduction is numerically computed by the finite-difference method using the explicit Euler formula. The most time consuming operation through the calculation is to find the corresponding temperature from the actual enthalpy for each node at each time step. Thus, a convenient approach can be to split up the vector of enthalpy and parallelize the enthalpy-temperature search. Our origin numerical model was created in mathematical software MATLAB and the parallelization was processed on Parallel Computing Toolbox 5 in MATLAB.

Anglický abstrakt

This paper deals with a suitable approach to parallelize the calculation of heat conduction with a phase change on multiple processors. The main reason of this is to speed up the solution time as much as possible. Various approaches how to solve these problems with the phase change can be used. In this paper we are dealing with the so-called enthalpy approach, which is based on the thermodynamic function of volume enthalpy. The heat conduction is numerically computed by the finite-difference method using the explicit Euler formula. The most time consuming operation through the calculation is to find the corresponding temperature from the actual enthalpy for each node at each time step. Thus, a convenient approach can be to split up the vector of enthalpy and parallelize the enthalpy-temperature search. Our origin numerical model was created in mathematical software MATLAB and the parallelization was processed on Parallel Computing Toolbox 5 in MATLAB.

Dokumenty

BibTex


@inproceedings{BUT72481,
  author="Tomáš {Mauder}",
  title="Parallelization MATLAB for Solving Problems in Heat Conduction with Phase Change",
  annote="This paper deals with a suitable approach to parallelize the calculation of heat conduction with a phase change on multiple processors. The main reason of this is to speed up the solution time as much as possible. Various approaches how to solve these problems with the phase change can be used. In this paper we are dealing with the so-called enthalpy approach, which is based on the thermodynamic function of volume enthalpy. The heat conduction is numerically computed by the finite-difference method using the explicit Euler formula. The most time consuming operation through the calculation is to find the corresponding temperature from the actual enthalpy for each node at each time step. Thus, a convenient approach can be to split up the vector of enthalpy and parallelize the enthalpy-temperature search. Our origin numerical model was created in mathematical software MATLAB and the parallelization was processed on Parallel Computing Toolbox 5 in MATLAB.",
  address="Technická univerzita v Liberci",
  booktitle="Sborník příspěvků z konference 30. setkání kateder mechaniky tekutin a termomechaniky",
  chapter="72481",
  howpublished="print",
  institution="Technická univerzita v Liberci",
  year="2011",
  month="june",
  pages="155--158",
  publisher="Technická univerzita v Liberci",
  type="conference paper"
}