# Lint as: python3 # pylint: disable=g-bad-file-header # Copyright 2020 DeepMind Technologies Limited. All Rights Reserved. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. # ============================================================================ """Model for CylinderFlow.""" import sonnet as snt import tensorflow.compat.v1 as tf from meshgraphnets import common from meshgraphnets import core_model from meshgraphnets import normalization class Model(snt.AbstractModule): """Model for fluid simulation.""" def __init__(self, learned_model, name='Model'): super(Model, self).__init__(name=name) with self._enter_variable_scope(): self._learned_model = learned_model self._output_normalizer = normalization.Normalizer( size=2, name='output_normalizer') self._node_normalizer = normalization.Normalizer( size=2+common.NodeType.SIZE, name='node_normalizer') self._edge_normalizer = normalization.Normalizer( size=3, name='edge_normalizer') # 2D coord + length def _build_graph(self, inputs, is_training): """Builds input graph.""" # construct graph nodes node_type = tf.one_hot(inputs['node_type'][:, 0], common.NodeType.SIZE) node_features = tf.concat([inputs['velocity'], node_type], axis=-1) # construct graph edges senders, receivers = common.triangles_to_edges(inputs['cells']) relative_mesh_pos = (tf.gather(inputs['mesh_pos'], senders) - tf.gather(inputs['mesh_pos'], receivers)) edge_features = tf.concat([ relative_mesh_pos, tf.norm(relative_mesh_pos, axis=-1, keepdims=True)], axis=-1) mesh_edges = core_model.EdgeSet( name='mesh_edges', features=self._edge_normalizer(edge_features, is_training), receivers=receivers, senders=senders) return core_model.MultiGraph( node_features=self._node_normalizer(node_features, is_training), edge_sets=[mesh_edges]) def _build(self, inputs): graph = self._build_graph(inputs, is_training=False) per_node_network_output = self._learned_model(graph) return self._update(inputs, per_node_network_output) @snt.reuse_variables def loss(self, inputs): """L2 loss on velocity.""" graph = self._build_graph(inputs, is_training=True) network_output = self._learned_model(graph) # build target velocity change cur_velocity = inputs['velocity'] target_velocity = inputs['target|velocity'] target_velocity_change = target_velocity - cur_velocity target_normalized = self._output_normalizer(target_velocity_change) # build loss node_type = inputs['node_type'][:, 0] loss_mask = tf.logical_or(tf.equal(node_type, common.NodeType.NORMAL), tf.equal(node_type, common.NodeType.OUTFLOW)) error = tf.reduce_sum((target_normalized - network_output)**2, axis=1) loss = tf.reduce_mean(error[loss_mask]) return loss def _update(self, inputs, per_node_network_output): """Integrate model outputs.""" velocity_update = self._output_normalizer.inverse(per_node_network_output) # integrate forward cur_velocity = inputs['velocity'] return cur_velocity + velocity_update