The python script for this problem can be found at examples/wave_equation/wave_1d.py. The PDE coded in wave_equation.py is also in the same directory for reference. Importing the required packages The new packages/modules imported in this tutorial are geometry_1d for using the 1D geometry...
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This tutorial extends the previous 1D wave equation example and solve a 2D seismic wave propagation problem commonly used in seismic surveying. In this tutorial, you will learn the following: How to solve a 2D time-dependent problem in Modulus Sym How to define an open boundary condition using...
This paper presents an implementation of an approximate analytical solution for the wave equation in one and bidimensional domains for Dirichlet Boundary Conditions (DBC), i.e., the primary variable is known in the domain boundary and it is defined as a periodic function of time. The ...
2D Wave Equation - Finite Difference 二维波动方程初边值问题: (1){∂2u∂t2=D(∂2u∂x2+∂2u∂y2),(x,y)∈Ω=(0,2)2,t∈(0,6)u(x,y,0)=0.1e−((x−xc)2+(y−yc)2)/0.001,ut(x,y,0)=0,(x,y)∈Ωu(x,y,t)=0,(x,y)∈∂Ω,t∈[0,6]...
This repository will contain a simulation of both the 2D heat and wave equation in a rectangular and circular room using the Finite Difference Method. - tresnjo/wave-and-heat-simulation
Python waltsims/k-wave-python Star131 A Python interface to k-Wave GPU accelerated binaries pythonsimulationgpuneuroscienceultrasoundwave-equationacousticskwave UpdatedMar 27, 2025 Python BSc project on All-optical ultrasound. Simulations run using k-Wave toolbox in MATLAB and analysis performed in Pyt...
Efforts to produce rapid 3D Green’s functions or seismic waveforms using interpolation or machine learning approaches have shown promise and have been improving in complexity the past few years. These machine learning approaches typically focus on solving some version of the seismic wave equation and...
The dynamics of hyphal filaments (equation (2)) are determined by the local density n and speed v of growing tips. This pair of coupled equations (equations (1) and (2)), which we call the branching and annihilating range expansion (BARE) wave model, has solutions that capture the ...
In particular, a simplified room-like 3D domain Ω=[0,1]3Ω=[0,1]3 m3m3 is considered. This room setup presents the lowest geometrical complexity while retaining the wall reflections interacting with the distributed and confined source regions. The inhomogeneous Helmholtz equation as the governing...