This special issue collects papers which develop and update methodologies and results illustrated at the International Workshop MASCOT01--1st Meeting on Applied Scientific Computing and Tools-- Grid Generation, Approximated Solutions and Visualization, held in Rome, October 22-24, 2001 at the Istituto per le Applicazioni del Calcolo (IAC). The meeting was supported by IMACS, the International Association for Mathematics and Computers in Simulation and ISGG, the International Society of Grid Generation and co-sponsored by the Italian National Group of Scientific Computing (GNCS-- Gruppo Nazionale di Calcolo Scientifico) and the Italian Society for Applied and Industrial Mathematics (SIMAI--Societa' Italiana per la Matematica Applicata e Industriale). Publication of the MASCOT01 Proceedings followed the Workshop, and in this issue, extensions and new results are presented. MASCOT meetings are intended to become a forum to discuss a wide spectrum of topics concerning scientific computing as applied to the effective solution of complex application problems. Thus topics range from theoretical to application inquiries and results, and include investigation in approximation and interpolation, advances in numerical grid generation, development of effective solvers of partial differential equations (PDEs) and the design of user-friendly and effective software tools. Modern and innovative modeling and simulation environments combine a large amount of expertise to handle complex and multidisciplinary application problems.

10th Edition of the International IMACS/ISGG Workshop MASCOT Series, cosponsored by IAC-CNR and SIMAI, October 20-22, 2010, ULPGC - Edificio de Humanidades, Las Palmas de Gran Canaria, Spain

Preface - MASCOT series of International Workshops has been organized every year, since 2001, under the auspices of the International Association for Mathematics and Computers in Simulation (IMACS) and the International Society of Grid Generation (ISGG). The Istituto per le Applicazioni del Calcolo} (IAC) of the CNR (Consiglio Nazionale delle Ricerche) has been, from the beginning, co-sponsor and main organizer of these events. MASCOT09, the 9th Meeting on Applied Scientific Computing and Tools: Grid Generation, Approximation and Visualization, was held in Rome, Italy, October 28-30, 2009, and hosted its animated group of young and senior participants at the CNR Head Office, in Piazzale A. Moro 7. Included as MASCOT09 co-sponsors were SIMAI- Societa' Italiana per la Matematica Applicata e Industriale and the Italian GNCS- Gruppo Nazionale per il Calcolo Scientifico. IAC, within the CNR RSTL (Ricerca Spontanea a Tema Libero) research project Numerical Grid Generation for Applied Scientific Computing, and MASCOT09 promoted the organization of the Guest Special Session " Together for Research: from the University of L'Aquila Onwards" by opening five positions for supported participation of young lecturers. This Special Session was designed to stress the disaster caused on the area of L'Aquila by the earthquake on April 6, 2009, at 3:32 am. In particular to pay attention to its effects on research surviving at the University of L'Aquila, and highlight the difficulties of the student community. As session focus Prof. Elisabetta Santi, from that University, gave a touching talk documenting the historical importance and the present large ruins of her town. Then five young fellows, from international submission, illustrated their scientific results. Even this workshop edition included a large spectrum of topics of the applied scientific computing, dealing with numerical methods and tools for a variety of aspects of modeling, approximation and simulation of crucially important application fields. Workshop presentations showed advanced studies in approximation and in numerical grid generation, developments of efficient solvers for partial differential equations and effective software tools, even for scientific visualization. This Book of Proceedings collects papers illustrating scientific backgrounds, research approaches and results presented at the Workshop, along with a few from the Special Session. Senior and junior expertise matured in several countries, both in west and east Europe, and overseas appears, coming from high qualified universities and research centers, in particular Italian ones, even from the University of L'Aquila. We would like to thank all who gave scientific, technical and organizational support to ensure the success of this edition, MASCOT09. We thank all the participants, senior and young colleagues, who were interested and planned to participate and all actively and warmly made the meeting successful Francesca Pistella Rosa Maria Spitaleri MASCOT09 Chairs- Scientific and Organizing Committees

9th Edition of the International IMACS/ISGG Workshop cosponsored by IAC-CNR and SIMAI, October 28-30, 2009, CNR-Aula Bisogno, Roma

In this paper we propose a numerical method for the simulation of acousticfields, in presence of an obstacle in the physical domain, by finite difference solution of a two-dimensional differential model on boundary-fittedgrids. The computational process gathers the elliptic grid generation, the linear Euler equations in curvilinear coordinates, the associated bicharacteristic equation and a fully explicit finite difference approximation. We detail the models, the algorithms and a series of both literature and new test problems. We present computed velocity and pressure fields by the help of figures. The method results to be able to reconstruct field evolutions and near obstacle perturbations caused by one or more, fixed or moving, pressure sources.

We present results of a numerical simulation of the thermal convection in the subsurface mushy ice layer of Europa, one of the Jupiter's moons. Beside fluid dynamics and heat transfer within such a layer, heat conduction in the solid crustal surface and heat exchange between the two phases - mushy ice and solid crust - are included in our model in order to follow also the evolution of the phase front. Since the images of Europa's crust taken by the spacecrafts Voyager and Galileo got to be known, planetary scientists stimulated this kind of investigations with the aim of studying the origin of such a topographic aspect. Actually the chaotic lineaments and splotches, clearly visible, solicited the conjecture of the existence of an internal ocean of water that is also supported by the most recent Galileo magnetic field data. The presence of water would make life possible on the jovian satellite. However, in the recent literature, just few numerical simulations describing the overall scenario and including either heat transfer and convection flow have been proposed. Here we adopt the stream-function/vorticity formulation of the Navier-Stokes equations for the flow of the mushy ice and a Stefan condition combined with a front-fixing technique for the front evolution. Our numerical discretization is based upon an ENO scheme. Mathematical model and numerical procedure have been thoroughly tested and have the advantage of yielding accurate numerical solutions via relatively coarse space discretization grids. For applications in this field the present one is the first attempt, at our knowledge, to solve a complete Stefan condition with convection flow, obtaining a good match with other numerical solutions in the literature.