Year 2014,
Volume: 29 Issue: 4, 0 - , 31.12.2014
Abstract
Riemannian uzayı gibi, iki üç boyutlu bütün Euclidean koordinat sistemlerine uygulanabilecek, ısı iletim denkleminin çözümü için yeni bir yaklaşım sunulmuştur. Denklem bileşenlerine ayrılmış olduğundan doğrudan sayısal hesaplamalarda kullanılabilir. Isı iletim denkleminin bu formu, düzensiz sabit veya ötelenen/dönen düzlemsel bölgelerde geçici sıcaklık alanının hesaplanması için bir yöntem oluşturulmasında kullanılır. Sadece sınır eğrileri ile tanımlanan düzensiz alanlarda düzlemsel ağlar oluşturmak için türetilen yöntem ayrıca tartışılmıştır.
References
- Thompson, J.F., Warsi, Z.U.A., Mastin, C.W., “Numerical Grid Generation, Foundations and Applications”, Elsevier Science Publishing Co., Inc., 1985.
- Wathen, A.J., “Time-resolved observation of electron-phonon relaxation in copper,” Phys Rev Lett, Cilt 58, 1212–1215, 1992.
- McCorquodale, P., Colella, P., Johansen, H., “A Cartesian grid embedded boundary method for the heat equation on irregular domains,” Journal of Computational Physics, Cilt 173, No 2, 620–635, 2001.
- Beckett, G., Mackenzie, J.A., Robertson, M.L., “A moving mesh finite element method for the solution of two-dimensional Stefan problems,” Journal of Computational Physics, Cilt 168, No 2, 500–518, 2001.
- Kuvyrkin, G.N., Titov, A.V., “On problems of heat conductivity with a moving boundary,” Izvestiya Vysshikh Uchebnykh Zavedenii, Mashinostroenie, Cilt 12, 136–139, 1979.
- Gilmore, S.D., Guceri, S.I., “Three-dimensional solidification, a numerical approach”, Numerical Heat Transfer, Cilt 14, No 2, 165–186, 1988.
- Chin, J.H., “Finite element analysis for conduction and ablation moving boundary,” AIAA Pap AIAA Thermophysics Conference, 15th, July 14-16, 1980.
- Aris, R., “Vectors, tensors, and the basic equations of fluid mechanics”, Dover Publications, 1990.
- Synge, J.L., “Tensor Calculus”. University of Toronto Press, 1969
- Heinbockel, J.H., “Introduction to Tensor Calculus and Continuum Mechanics”. Trafford Publishing, 2001.
- Truesdell, C., “The Physical components of vectors and Tensors," Journal of Applied Math. Mech., Cilt 33, 245-356,1953.
- Ozisik, M.N., “Finite Difference Methods in Heat Transfer”. CRC Press, 1994.
- Fluent Users Guide, Fluent Inc. 2010.
Year 2014,
Volume: 29 Issue: 4, 0 - , 31.12.2014
Abstract
References
- Thompson, J.F., Warsi, Z.U.A., Mastin, C.W., “Numerical Grid Generation, Foundations and Applications”, Elsevier Science Publishing Co., Inc., 1985.
- Wathen, A.J., “Time-resolved observation of electron-phonon relaxation in copper,” Phys Rev Lett, Cilt 58, 1212–1215, 1992.
- McCorquodale, P., Colella, P., Johansen, H., “A Cartesian grid embedded boundary method for the heat equation on irregular domains,” Journal of Computational Physics, Cilt 173, No 2, 620–635, 2001.
- Beckett, G., Mackenzie, J.A., Robertson, M.L., “A moving mesh finite element method for the solution of two-dimensional Stefan problems,” Journal of Computational Physics, Cilt 168, No 2, 500–518, 2001.
- Kuvyrkin, G.N., Titov, A.V., “On problems of heat conductivity with a moving boundary,” Izvestiya Vysshikh Uchebnykh Zavedenii, Mashinostroenie, Cilt 12, 136–139, 1979.
- Gilmore, S.D., Guceri, S.I., “Three-dimensional solidification, a numerical approach”, Numerical Heat Transfer, Cilt 14, No 2, 165–186, 1988.
- Chin, J.H., “Finite element analysis for conduction and ablation moving boundary,” AIAA Pap AIAA Thermophysics Conference, 15th, July 14-16, 1980.
- Aris, R., “Vectors, tensors, and the basic equations of fluid mechanics”, Dover Publications, 1990.
- Synge, J.L., “Tensor Calculus”. University of Toronto Press, 1969
- Heinbockel, J.H., “Introduction to Tensor Calculus and Continuum Mechanics”. Trafford Publishing, 2001.
- Truesdell, C., “The Physical components of vectors and Tensors," Journal of Applied Math. Mech., Cilt 33, 245-356,1953.
- Ozisik, M.N., “Finite Difference Methods in Heat Transfer”. CRC Press, 1994.
- Fluent Users Guide, Fluent Inc. 2010.
There are 13 citations in total.
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Makaleler |
| Authors | |
| Publication Date | December 31, 2014 |
| Submission Date | December 31, 2014 |
| Published in Issue | Year 2014 Volume: 29 Issue: 4 |