![]() Vesting period – the shortest period until the option can be exercised.Contractual term of the option – the maximum period for which the option can be held.A simple lattice model might incorporate an array of values for each of the four inputs related to employee exercise behavior: The Black-Scholes model reduces all possible employee exercise patterns to a weighted-average that is used as a single input-the expected term-while lattice models can incorporate a range of inputs describing possible exercise behavior. In a similar manner, lattice models can incorporate far more detailed assumptions about employees' future exercise patterns than the Black-Scholes model. Transfers and servicing of financial assets Revenue from contracts with customers (ASC 606) Loans and investments (post ASU 2016-13 and ASC 326) Investments in debt and equity securities (pre ASU 2016-13) Insurance contracts for insurance entities (pre ASU 2018-12) Insurance contracts for insurance entities (post ASU 2018-12) IFRS and US GAAP: Similarities and differences ICMMES, 2021.Business combinations and noncontrolling interestsĮquity method investments and joint ventures Hennig et al, Automatic Code Generation for the Cumulant Lattice Boltzmann Method. The International Journal of High Performance Computing Applications, 2021. Holzer et al, Highly efficient lattice Boltzmann multiphase simulations of immiscible fluids at high-density ratios on CPUs and GPUs through code generation. Bauer et al, lbmpy: Automatic code generation for efficient parallel lattice Boltzmann methods. If you use lbmpy in a publication, please cite the following articles: ![]() Many thanks go to the contributors of lbmpy. To see how to open issues, submit bug reports, create feature requests or submit your additions to lbmpy please refer toĬontribution documentation of pystencils since lbmpy is heavily build on pystencils. pip install lbmpy DocumentationĬheck out the Jupyter notebooks in doc/notebooks. interactive: installs dependencies to work in Jupyter including image I/O, plotting etc.alltrafos: pulls in additional dependencies for loop simplification e.g.opencl: use this to enable the target opencl (execution using OpenCL).gpu: use this if a NVIDIA GPU is available and CUDA is installed.Without you get a minimal version with very little dependencies. Installationįor local installation use pip: pip install lbmpy ![]() ![]() To find out more, check out the interactive tutorial notebooks online with binder. TRT, equilibrium_order = 2, compressible = True, relaxation_rates =, optimization = ) It even comes with an integrated Chapman Enskog analysis based on sympy!Ĭommon test scenarios can be set up quickly: from pystencils import Target from ssion import * ch = create_channel ( domain_size = ( 300, 100, 100 ), force = 1e-7, method = Method. Lbmpy creates highly optimized LB compute kernels in C or CUDA, for a wide variety of different collision operators, including MRT,Īll collision operators can be easily adapted, for example, to integrate turbulence models, custom force terms, or multi-phase models. Run fast fluid simulations based on the lattice Boltzmann method in Python on CPUs and GPUs. ![]()
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