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Computational simulation of one-dimensional waves with the Multigrid Method / Simulação computacional de ondas unidimensionais com o Método Multigrid
Author(s) -
Maicon Felipe Malacarne,
Márcio Augusto Villela Pinto,
Sebastião Romero Franco
Publication year - 2021
Publication title -
brazilian journal of development
Language(s) - English
Resource type - Journals
ISSN - 2525-8761
DOI - 10.34117/bjdv7n8-538
Subject(s) - multigrid method , discretization , solver , computer science , mathematics , gauss , computational science , mathematical optimization , physics , mathematical analysis , partial differential equation , quantum mechanics
Several Engineering problems are modeled computationally, these simulations involve large systems, which are commonly difficult to solve. This paper deals with the simulation of one-dimensional waves, where the system resulting from the discretization by the Finite Difference Method is solved using the Multigrid Method with the conventional Gauss-Seidel solver, in order to decrease the computational time. Temporal discretization using the Time-Stepping method, where the system of equations is solved at each time step sequentially.

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