Automatic Resolution Control for the Finite Volume Method (FVM) shows signs of rapid development in recent years. The objective of the procedure is to obtain a numerical solution of prescribed accuracy with minimum eeort in terms of time and computational resources. It consists of two parts: an a-posteriori error estimate and an appropriate modii-cation of the spatial and temporal discretisatio...

This paper reviews the recent advances of finitevolume techniques applied to the solutions of Maxwell’s equations, placing emphasis on the microwave engineering perspective. The theoretical foundations, as well as variations of cellcentered finite-volume algorithms are described together with the modules necessary for the practical application of the method. The main advantage of finite-volume ...

In this paper we report on a numerical method to include Marangoni forces into a finitevolume solver for multi-phase flows. Our work is motivated by the question of whether thermal fluctuations typically found in combustion applications can impact the atomization of fuel drops due to variations in surface tension. To verify and validate our proposed method, we compare our results to theoretical...

A conservative level-set model for direct simulation of two-phase flows with thermocapillary effects at dynamically deformable interface is presented. The Navier-Stokes equations coupled with the energy conservation equation are solved by means of a finitevolume/level-set method. Some numerical examples including thermocapillary motion of single and multiple fluid particles are computed by mean...

Extension of a solution adaptive grid method to hypersonic flows is presented. Fully unstructured triangular grids are generated in an automatic manner and further refined by adapting to the flow features. Two-dimensional inviscid flow is simulated by numerical solution of Euler equations. A cell-centered finitevolume scheme is used and the steady state solution is obtained using an explicit mu...

Numerical simulations of a spacecraft at reentry conditions are presented. The fluid at such conditions is modeled as a reacting gas in thermal and chemical nonequilibrium. The reacting gas is modeled using a standard finite rate chemistry model for air. A twotemperature model is used to account for the thermal nonequilibrium effects. The finitevolume method is used to solve the set of differen...

An effective field approximation, similar to the atomic Thomas-Fermi approach, is proposed for studying non-Abelian gauge theories which includes finitevolume effects. As applications of the formalism the equation of state for an SU(2) gauge theory with massless fermions is obtained. The extensions to realistic situations are briefly discussed. ? [email protected] † [email protected] ‡ jose.w...

We review the current status of solution methods for nonlinear systems arising from high-order discretization of steady compressible flow problems. In this context, many of the difficulties that one faces are similar to, but more pronounced than, those that have always been present in industrial-strength CFD computations. We highlight similarities and differences between the high-order paradigm...

(2) the product H × H of 2 hyperbolic planes. In short, among all the symmetric spaces of noncompact type with rank ≥ 2, there are only two manifolds that are minimal with respect to the partial order defined by totally geodesic embeddings. Our main theorem provides an analogue of this result for noncompact finitevolume spaces that are locally symmetric, rather than globally symmetric, but, in ...

In order to include nontrivial spatial topologies in the problem of quantum creation of a universe, it seems to be necessary to generalize the sum over compact, smooth 4-manifolds to a sum over finitevolume, compact 4-orbifolds. We consider in detail the case of a 4spherical orbifold with a cone-point singularity. This allows for the inclusion of a nontrivial topology in the semiclassical path ...