A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Numerical simulation in fluid dynamics: a practical introduction
Numerical simulation in fluid dynamics: a practical introduction
Parallel multigrid in an adaptive PDE solver based on hashing and space-filling curves
Parallel Computing - Special issue on parallelization techniques for numerical modelling
An adaptive version of the immersed boundary method
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Journal of Computational Physics
An Application-Centric Characterization of Domain-Based SFC Partitioners for Parallel SAMR
IEEE Transactions on Parallel and Distributed Systems
On the Quality of Partitions Based on Space-Filling Curves
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Computation of multiphase systems with phase field models
Journal of Computational Physics
Accurate representation of surface tension using the level contour reconstruction method
Journal of Computational Physics
A Cache-Aware Algorithm for PDEs on Hierarchical Data Structures Based on Space-Filling Curves
SIAM Journal on Scientific Computing
Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems
SIAM Journal on Control and Optimization
Journal of Computational Physics
Numerical Simulation of Particle Transport in a Drift Ratchet
SIAM Journal on Scientific Computing
A blocking strategy on multicore architectures for dynamically adaptive PDE solvers
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I
A conservative level set method suitable for variable-order approximations and unstructured meshes
Journal of Computational Physics
Peano—A Traversal and Storage Scheme for Octree-Like Adaptive Cartesian Multiscale Grids
SIAM Journal on Scientific Computing
A dynamic mesh refinement technique for Lattice Boltzmann simulations on octree-like grids
Computational Mechanics
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In this work, we present recent enhancements and new functionalities of our flow solver in the partial differential equation framework Peano. We start with an introduction including an overview of the Peano development and a short description of the basic concepts of Peano and the flow solver in Peano concerning the underlying structured but adaptive Cartesian grids, the data structure and data access optimisation, and spatial and time discretisation of the flow solver. The new features cover geometry interfaces and additional application functionalities. The two geometry interfaces, a triangulation-based description supported by the tool preCICE and a built-in geometry using geometry primitives such as cubes, spheres, or tetrahedra allow for the efficient treatment of complex and changing geometries, an essential ingredient for most application scenarios. The new application functionality concerns a coupled heat-flow problem and two-phase flows. We present numerical examples, performance and validation results for these new functionalities.