Hybrid Numerical Method for Heat Transfer Analysis of Complex 3D Geometries

2002 ◽  
Author(s):  
Greshan Fernando
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Finite Difference Methods ◽  
Numerical Approach ◽  
Object Oriented Programming ◽  
Heat Transfer Analysis ◽  
Hybrid Technique ◽  
Simulation Code ◽  
Fem Method ◽  
Complex Boundary

The heat transfer analysis of systems with complex 3D geometries is usually done by numerical methods. Finite Element Method (FEM) and Finite Difference Methods (FDM) are widely used for this purpose. Complex geometries are accurately analyzed by FEM method. However, FEM solutions can be computationally inefficient for thermal problems that have high mesh densities with complex boundary conditions and variable material properties. On the other hand, Finite Difference method (FDM) is difficult to apply for complex geometric shapes. A hybrid numerical approach that combines the advantages of FDM and FEM has been integrated into a thermal simulation code. The hybrid technique has been implemented using object oriented programming techniques in a PC environment. A comparison of the computational efficiency of the two methods has been presented.

scholarly journals A Laplace transform finite difference scheme for the Fisher-KPP equation

2021 ◽  
Vol 15 ◽  
pp. 174830262199958
Author(s):  
Colin L Defreitas ◽  
Steve J Kane
Keyword(s):  
Finite Difference ◽  
Laplace Transform ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Finite Difference Methods ◽  
Reaction Diffusion ◽  
Numerical Approach ◽  
Travelling Wave ◽  
Reaction Diffusion Equation ◽  
Kpp Equation

This paper proposes a numerical approach to the solution of the Fisher-KPP reaction-diffusion equation in which the space variable is developed using a purely finite difference scheme and the time development is obtained using a hybrid Laplace Transform Finite Difference Method (LTFDM). The travelling wave solutions usually associated with the Fisher-KPP equation are, in general, not deemed suitable for treatment using Fourier or Laplace transform numerical methods. However, we were able to obtain accurate results when some degree of time discretisation is inbuilt into the process. While this means that the advantage of using the Laplace transform to obtain solutions for any time t is not fully exploited, the method does allow for considerably larger time steps than is otherwise possible for finite-difference methods.

scholarly journals Simulasi Dampak Penghalang pada Gelombang Tsunami Menggunakan Persamaan Air Dangkal dengan Metode Beda Hingga

2021 ◽  
Vol 3 (2) ◽  
pp. 93-102
Author(s):  
Ahmad Zaenal Arifin
Keyword(s):  
Finite Difference ◽  
Shallow Water ◽  
Tsunami Wave ◽  
Shallow Water Equation ◽  
Finite Difference Methods ◽  
Numerical Approach ◽  
Tsunami Waves ◽  
Simulation Results ◽  
The Finite Difference Method ◽  
The Waves

ABSTRAKTsunami menjadi salah satu bencana alam yang paling berbahaya di daerah sekitar pesisir. Dampak dari gelombang tsunami menyebabkan kerugian yang besar bagi manusia, adanya banyak korban jiwa dan juga besarnya kerugian dalam bidang ekonomi. Artikel ini menunjukkan simulasi dengan pendekatan numerik metode beda hingga untuk menunjukkan dampak keberadan barrier sebagai penghalang gelombang tsunami. Gelombang tsunami dapat direpresntasikan dengan menggunakan persamaan air dangkal. Persamaan air dangkal secara umum digunakan dalam menggambarkan masalah fluida yang didasari oleh konservasi fisik dan juga dapat digunakan untuk menggambarkan terjadinya gelombang tsunami. Persamaan air dangkal berbentuk persamaan diferensial parsial sehingga dapat diselesaikan menggunakan metode beda hingga. Hasil simulasi persamaan air dangkal menunjukan bahwa persamaan air dangkal dapat merepresentasikan gelombang tsunami dengan konstruksi penghalang dan diketahui bahwa pembangunan sebuah penghalang dapat memecah gelombang tsunami dan dapat mengurangi kekuatan gelombang. ABSTRACTOne of the most dangerous natural disasters in the coastal area is Tsunami. The tsunami waves impact caused considerable losses to humans, many casualties, and significant losses in the economic field. This article shows a simulation using the numerical approach of finite difference methods to deliver the barrier's impact is a tsunami wave barrier. Tsunami waves can be represented using the shallow water equation. The shallow water equation is generally used to describe fluid problems based on physical conservation and define tsunami waves. The shallow water equation is in the form of a partial differential equation to be solved using the finite difference method. The shallow water equation's simulation results show that the shallow water equation can represent a tsunami wave with a barrier construction. It is known that the construction of a barrier can break the tsunami waves and reduce the strength of the waves.

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