RT Dissertation/Thesis
T1 Contributions to the numerical solution of heterogeneous fluid mechanics models
A1 Busto Ulloa, Saray
K1 Navier-Stokes equations
K1 Advection-diffusion-reaction equations
K1 High order finite volume methods
K1 Projection hybrid finite volume-finite element method
AB A high order projection hybrid finite volume – finite element method is developed to solve incompressible and compressible low Mach number flows. Furthermore, turbulent regimes are also considered thanks to the k–ε model. The unidimensional advection-diffusion-reaction equation is used to construct, analyze and assess high order finite volume schemes. Two families of methods are studied: Kolgan-type schemes and ADER methodology. A modification of the last one is proposed providing a new numerical method called Local ADER. The designed method is extended to solve the transport-diffusion stage of the three-dimensional projection method. Within the projection stage the pressure correction is computed by a piecewise linear finite element method. Numerical results are presented, aimed at verifying the formal order of accuracy of the schemes and to assess the performance of the method on several realistic test problems.
YR 2018
FD 2018
LK http://hdl.handle.net/10347/16591
UL http://hdl.handle.net/10347/16591
LA eng
DS Minerva
RD 24 abr 2026