Abstract
The conservation equations for fluid flow (i.e. mass, momentum and energy) derived in Chap. 5 are partial differential equations (PDEs) that are non-linear and cannot be solved analytically. The equations for particle flows derived in Chap. 6 can be in Eulerian form which are in the same form as the fluid flow equations, or in Lagrangian form which is an ordinary differential equation (ODE). The single ODE for the particle equation in Lagrangian form, is simpler to solve compared to the coupled non-linear PDEs. In this chapter we first present the discretisation and numerical solution for the set of PDEs, followed by numerical integration techniques for the ODE.
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© 2013 Springer Science+Business Media Dordrecht
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Tu, J., Inthavong, K., Ahmadi, G. (2013). Numerical Methods and Its Solution. In: Computational Fluid and Particle Dynamics in the Human Respiratory System. Biological and Medical Physics, Biomedical Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4488-2_7
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DOI: https://doi.org/10.1007/978-94-007-4488-2_7
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Online ISBN: 978-94-007-4488-2
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