This thesis studies advection modeling for heat transfer and fluid flow problems using a new Non--Inverted Skew Upwind Scheme (called NISUS). Variants of the new scheme are formulated and developed with 8-noded hexahedral elements using the Finite Element Method (FEM)and rectangular elements based on a Finite Volume Method (FVM). A new method of mass weighting to predict convective fluxes of each scalar from the nodal point values is developed. Due to an explicit representation in terms of nodal variables, local inversion of the upwind coefficient matrix is not needed. Also, this thesis evaluates two variants of the new scheme (i.e., 3-node / 3-point and 4-node / 8-point formulations) within a 3--D FEM and a third variant within a 2--D FVM. The 3--D FEM variants are applied to a variety of test problems involving the transport of a scalar variable, while the 2--D FVM variant is applied to fluid flow problems including natural convection in an enclosure and micro--channel flow simulations. The promising performance of NISUS, as compared with exact and previous solutions, is demonstrated both in terms of accuracy and stability. Furthermore, a new data storage format called Compressed Banded Data (CBD) is developed for sparse banded matrices generated by the control volume finite element method (CVFEM). The platform of the new CBD structure permits dynamic switching between various solvers, without any procedural change in the implementation of existing simulation software. The performance of different Krylov techniques with an ILU(0) preconditioner is observed and compared in three test problems with a direct solver. / October 2006

This thesis studies advection modeling for heat transfer and fluid flow problems using a new Non--Inverted Skew Upwind Scheme (called NISUS). Variants of the new scheme are formulated and developed with 8-noded hexahedral elements using the Finite Element Method (FEM)and rectangular elements based on a Finite Volume Method (FVM). A new method of mass weighting to predict convective fluxes of each scalar from the nodal point values is developed. Due to an explicit representation in terms of nodal variables, local inversion of the upwind coefficient matrix is not needed. Also, this thesis evaluates two variants of the new scheme (i.e., 3-node / 3-point and 4-node / 8-point formulations) within a 3--D FEM and a third variant within a 2--D FVM. The 3--D FEM variants are applied to a variety of test problems involving the transport of a scalar variable, while the 2--D FVM variant is applied to fluid flow problems including natural convection in an enclosure and micro--channel flow simulations. The promising performance of NISUS, as compared with exact and previous solutions, is demonstrated both in terms of accuracy and stability. Furthermore, a new data storage format called Compressed Banded Data (CBD) is developed for sparse banded matrices generated by the control volume finite element method (CVFEM). The platform of the new CBD structure permits dynamic switching between various solvers, without any procedural change in the implementation of existing simulation software. The performance of different Krylov techniques with an ILU(0) preconditioner is observed and compared in three test problems with a direct solver.

This thesis studies advection modeling for heat transfer and fluid flow problems using a new Non--Inverted Skew Upwind Scheme (called NISUS). Variants of the new scheme are formulated and developed with 8-noded hexahedral elements using the Finite Element Method (FEM)and rectangular elements based on a Finite Volume Method (FVM). A new method of mass weighting to predict convective fluxes of each scalar from the nodal point values is developed. Due to an explicit representation in terms of nodal variables, local inversion of the upwind coefficient matrix is not needed. Also, this thesis evaluates two variants of the new scheme (i.e., 3-node / 3-point and 4-node / 8-point formulations) within a 3--D FEM and a third variant within a 2--D FVM. The 3--D FEM variants are applied to a variety of test problems involving the transport of a scalar variable, while the 2--D FVM variant is applied to fluid flow problems including natural convection in an enclosure and micro--channel flow simulations. The promising performance of NISUS, as compared with exact and previous solutions, is demonstrated both in terms of accuracy and stability. Furthermore, a new data storage format called Compressed Banded Data (CBD) is developed for sparse banded matrices generated by the control volume finite element method (CVFEM). The platform of the new CBD structure permits dynamic switching between various solvers, without any procedural change in the implementation of existing simulation software. The performance of different Krylov techniques with an ILU(0) preconditioner is observed and compared in three test problems with a direct solver.

This thesis deals with translation and interpretation of pseudovergilian epyllion Ciris, which tells a story of traitorous princess of Megara, Scylla, who betrays her father Nísos by cutting off his magical purple lock. With it she surrenders the entire city to the enemy Minos in order to secure his love. Her plan ultimately fails and as a result she is transformed into a brand new bird named the ciris. The first part of the thesis provides a literary-theoretical study of the epyllion based on comparison with the sources of the myth and other latin poems, as it seems as if Ciris was composed by an anonymous young disciple in a late latin cento style but only published in his older age. Some ascribe it to young Virgil or Cornelius Gallus. In the course of the study the following questions will be answered: Is Scylla's transformation a liberation or punishment for her crime? What is the role of nutrix in the epyllion and what is her literary origin? How does the author deal with the weaving metaphore? The second part of the thesis offers a first prosaic translation of Ciris into czech language with a humble commentary where deemed necessary.

This thesis deals with translation and interpretation of pseudovergilian epyllion Ciris, which tells a story of traitorous princess of Megara, Scylla, who betrays her father Nísos by cutting off his magical purple lock. With it she surrenders the entire city to the enemy Minos in order to secure his love. Her plan ultimately fails and as a result she is transformed into a brand new bird named the ciris. The first part of the thesis provides a literary-theoretical study of the epyllion based on comparison with the sources of the myth and other latin poems, as it seems as if Ciris was composed by an anonymous young disciple in a late latin cento style but only published in his older age. Some ascribe it to young Virgil or Cornelius Gallus. In the course of the study the following questions will be answered: Is Scylla's transformation a liberation or punishment for her crime? What is the role of nutrix in the epyllion and what is her literary origin? How does the author deal with the weaving metaphore? The second part of the thesis offers a first prosaic translation of Ciris into czech language with a humble commentary where deemed necessary.