//! GPU-accelerated D2Q9 Lattice Boltzmann solver //! //! Implementation of the D2Q9 (2D, 9 velocities) LBM scheme on GPU //! for incompressible flow simulations. use crate::kernels::CudaKernelManager; use crate::solvers::BoundaryConditions; use crate::solvers::incompressible::flow_field::FlowField; use crate::{CfdConfig, CfdError, CfdResult}; use cudarc::driver::{CudaModule, CudaSlice, LaunchConfig, PushKernelArg}; use nalgebra::Vector2; use std::sync::Arc; /// GPU buffers for D2Q9 LBM solver struct D2Q9GpuBuffers { /// Distribution functions (9 velocities per cell) f: CudaSlice, /// Temporary distribution functions for streaming f_temp: CudaSlice, /// Equilibrium distributions f_eq: CudaSlice, /// Macroscopic density density: CudaSlice, /// Macroscopic velocity x-component velocity_x: CudaSlice, /// Macroscopic velocity y-component velocity_y: CudaSlice, /// Grid dimensions nx: usize, ny: usize, } /// GPU-accelerated D2Q9 Lattice Boltzmann solver pub struct D2Q9GpuSolver { /// CUDA kernel manager kernel_manager: Arc, /// LBM module with compiled kernels lbm_module: Option>, /// GPU buffers gpu_buffers: Option, /// Relaxation parameter omega: f64, /// Lattice speed cs2: f64, } impl D2Q9GpuSolver { /// Create a new D2Q9 GPU solver pub fn new(config: &CfdConfig) -> CfdResult { let kernel_manager = Arc::new(CudaKernelManager::new(config)?); Ok(Self { kernel_manager, lbm_module: None, gpu_buffers: None, omega: 1.0, // Will be computed from viscosity cs2: 1.0 / 3.0, // Speed of sound squared for D2Q9 }) } /// Initialize solver with flow field pub fn initialize(&mut self, flow_field: &FlowField, viscosity: f64) -> CfdResult<()> { // Compute relaxation parameter from viscosity let dt = 1.0; // LBM time step let dx = 1.0; // LBM space step self.omega = 1.0 / (3.0 * viscosity * dt / (dx * dx) + 0.5); // Load LBM kernels self.load_lbm_kernels()?; // Initialize GPU buffers self.initialize_gpu_buffers(flow_field)?; Ok(()) } /// Load and compile LBM kernels fn load_lbm_kernels(&mut self) -> CfdResult<()> { // For now, use a placeholder - in real implementation would load PTX // or compile CUDA kernels for D2Q9 operations // The module would contain kernels for: // - Collision step // - Streaming step // - Boundary conditions // - Equilibrium computation // - Macroscopic variables computation let module = self.kernel_manager.get_module("lbm_d2q9_kernels")?; self.lbm_module = Some(module.clone()); Ok(()) } /// Initialize GPU buffers from flow field fn initialize_gpu_buffers(&mut self, flow_field: &FlowField) -> CfdResult<()> { let (nx, ny, _, _) = flow_field.grid_info(); let n_cells = nx * ny; let n_velocities = 9; let n_distributions = n_cells * n_velocities; // Allocate GPU memory let f = self.kernel_manager.allocate_f32(n_distributions)?; let f_temp = self.kernel_manager.allocate_f32(n_distributions)?; let f_eq = self.kernel_manager.allocate_f32(n_distributions)?; let density = self.kernel_manager.allocate_f32(n_cells)?; let velocity_x = self.kernel_manager.allocate_f32(n_cells)?; let velocity_y = self.kernel_manager.allocate_f32(n_cells)?; // Initialize distributions from flow field self.initialize_distributions_from_flow( &f, &density, &velocity_x, &velocity_y, flow_field, )?; self.gpu_buffers = Some(D2Q9GpuBuffers { f, f_temp, f_eq, density, velocity_x, velocity_y, nx, ny, }); Ok(()) } /// Initialize distributions from flow field data fn initialize_distributions_from_flow( &self, f: &CudaSlice, density: &CudaSlice, velocity_x: &CudaSlice, velocity_y: &CudaSlice, flow_field: &FlowField, ) -> CfdResult<()> { // Copy flow field data to GPU let (nx, ny, _, _) = flow_field.grid_info(); // Flatten flow field data for GPU transfer let mut rho_host = Vec::with_capacity(nx * ny); let mut u_host = Vec::with_capacity(nx * ny); let mut v_host = Vec::with_capacity(nx * ny); for j in 0..ny { for i in 0..nx { // For incompressible flow, use constant density rho_host.push(1.0f32); // Get velocity from FlowField - note the staggered grid let (u_val, v_val) = flow_field.get_velocity_at(i, j).unwrap_or((0.0, 0.0)); u_host.push(u_val as f32); v_host.push(v_val as f32); } } // Copy to GPU (htod: host source, device destination - needs mutable) let density_mut = &mut density.clone(); let velocity_x_mut = &mut velocity_x.clone(); let velocity_y_mut = &mut velocity_y.clone(); self.kernel_manager .stream() .memcpy_htod(&rho_host, density_mut) .map_err(|e| CfdError::gpu_error(&format!("Failed to copy density to GPU: {}", e)))?; self.kernel_manager .stream() .memcpy_htod(&u_host, velocity_x_mut) .map_err(|e| { CfdError::gpu_error(&format!("Failed to copy velocity_x to GPU: {}", e)) })?; self.kernel_manager .stream() .memcpy_htod(&v_host, velocity_y_mut) .map_err(|e| { CfdError::gpu_error(&format!("Failed to copy velocity_y to GPU: {}", e)) })?; // Initialize equilibrium distributions on GPU self.compute_equilibrium_distributions(f, density, velocity_x, velocity_y, nx, ny)?; Ok(()) } /// Compute equilibrium distributions on GPU fn compute_equilibrium_distributions( &self, f: &CudaSlice, density: &CudaSlice, velocity_x: &CudaSlice, velocity_y: &CudaSlice, nx: usize, ny: usize, ) -> CfdResult<()> { let module = self .lbm_module .as_ref() .ok_or_else(|| CfdError::gpu_error("LBM module not loaded"))?; let func = module.load_function("d2q9_equilibrium_init").map_err(|e| { CfdError::gpu_error(&format!("Failed to get equilibrium kernel: {}", e)) })?; let grid_dim_x = (nx as u32 + 15) / 16; let grid_dim_y = (ny as u32 + 15) / 16; let config = LaunchConfig { grid_dim: (grid_dim_x, grid_dim_y, 1), block_dim: (16, 16, 1), shared_mem_bytes: 0, }; unsafe { self.kernel_manager .stream() .launch_builder(&func) .arg(&mut f.clone()) .arg(density) .arg(velocity_x) .arg(velocity_y) .arg(&(self.cs2 as f32)) .arg(&(nx as i32)) .arg(&(ny as i32)) .launch(config) .map_err(|e| { CfdError::gpu_error(&format!("Equilibrium init kernel launch failed: {}", e)) })?; } self.kernel_manager.synchronize()?; Ok(()) } /// Execute one LBM time step pub async fn step(&mut self, boundary_conditions: &BoundaryConditions) -> CfdResult<()> { // Collision step self.gpu_collision_step()?; // Streaming step self.gpu_streaming_step()?; // Apply boundary conditions self.gpu_apply_boundaries(boundary_conditions)?; // Compute macroscopic variables self.gpu_compute_macroscopic()?; Ok(()) } /// GPU-accelerated collision step fn gpu_collision_step(&self) -> CfdResult<()> { let buffers = self .gpu_buffers .as_ref() .ok_or_else(|| CfdError::gpu_error("GPU buffers not initialized"))?; // First compute equilibrium distributions self.gpu_compute_equilibrium()?; // Then perform collision: f = f + omega * (f_eq - f) let module = self .lbm_module .as_ref() .ok_or_else(|| CfdError::gpu_error("LBM module not loaded"))?; let func = module .load_function("d2q9_collision") .map_err(|e| CfdError::gpu_error(&format!("Failed to get collision kernel: {}", e)))?; let grid_dim_x = (buffers.nx as u32 + 15) / 16; let grid_dim_y = (buffers.ny as u32 + 15) / 16; let config = LaunchConfig { grid_dim: (grid_dim_x, grid_dim_y, 1), block_dim: (16, 16, 1), shared_mem_bytes: 0, }; unsafe { self.kernel_manager .stream() .launch_builder(&func) .arg(&mut buffers.f.clone()) .arg(&buffers.f_eq) .arg(&(self.omega as f32)) .arg(&(buffers.nx as i32)) .arg(&(buffers.ny as i32)) .launch(config) .map_err(|e| { CfdError::gpu_error(&format!("Collision kernel launch failed: {}", e)) })?; } self.kernel_manager.synchronize()?; Ok(()) } /// GPU-accelerated streaming step pub fn gpu_streaming_step(&self) -> CfdResult<()> { let buffers = self .gpu_buffers .as_ref() .ok_or_else(|| CfdError::gpu_error("GPU buffers not initialized"))?; let module = self .lbm_module .as_ref() .ok_or_else(|| CfdError::gpu_error("LBM module not loaded"))?; let func = module .load_function("d2q9_streaming") .map_err(|e| CfdError::gpu_error(&format!("Failed to get streaming kernel: {}", e)))?; let grid_dim_x = (buffers.nx as u32 + 15) / 16; let grid_dim_y = (buffers.ny as u32 + 15) / 16; let config = LaunchConfig { grid_dim: (grid_dim_x, grid_dim_y, 1), block_dim: (16, 16, 1), shared_mem_bytes: 0, }; unsafe { self.kernel_manager .stream() .launch_builder(&func) .arg(&mut buffers.f_temp.clone()) .arg(&buffers.f) .arg(&(buffers.nx as i32)) .arg(&(buffers.ny as i32)) .launch(config) .map_err(|e| { CfdError::gpu_error(&format!("Streaming kernel launch failed: {}", e)) })?; } // Swap buffers: f = f_temp // In real implementation, would swap buffer pointers self.kernel_manager.synchronize()?; Ok(()) } /// GPU-accelerated macroscopic variable computation fn gpu_compute_macroscopic(&self) -> CfdResult<()> { let buffers = self .gpu_buffers .as_ref() .ok_or_else(|| CfdError::gpu_error("GPU buffers not initialized"))?; let module = self .lbm_module .as_ref() .ok_or_else(|| CfdError::gpu_error("LBM module not loaded"))?; let func = module.load_function("d2q9_macroscopic").map_err(|e| { CfdError::gpu_error(&format!("Failed to get macroscopic kernel: {}", e)) })?; let grid_dim_x = (buffers.nx as u32 + 15) / 16; let grid_dim_y = (buffers.ny as u32 + 15) / 16; let config = LaunchConfig { grid_dim: (grid_dim_x, grid_dim_y, 1), block_dim: (16, 16, 1), shared_mem_bytes: 0, }; unsafe { self.kernel_manager .stream() .launch_builder(&func) .arg(&mut buffers.density.clone()) .arg(&mut buffers.velocity_x.clone()) .arg(&mut buffers.velocity_y.clone()) .arg(&buffers.f) .arg(&(buffers.nx as i32)) .arg(&(buffers.ny as i32)) .launch(config) .map_err(|e| { CfdError::gpu_error(&format!( "Macroscopic variables kernel launch failed: {}", e )) })?; } self.kernel_manager.synchronize()?; Ok(()) } /// Compute equilibrium distributions on GPU fn gpu_compute_equilibrium(&self) -> CfdResult<()> { let buffers = self .gpu_buffers .as_ref() .ok_or_else(|| CfdError::gpu_error("GPU buffers not initialized"))?; let module = self .lbm_module .as_ref() .ok_or_else(|| CfdError::gpu_error("LBM module not loaded"))?; let func = module.load_function("d2q9_equilibrium").map_err(|e| { CfdError::gpu_error(&format!("Failed to get equilibrium kernel: {}", e)) })?; let grid_dim_x = (buffers.nx as u32 + 15) / 16; let grid_dim_y = (buffers.ny as u32 + 15) / 16; let config = LaunchConfig { grid_dim: (grid_dim_x, grid_dim_y, 1), block_dim: (16, 16, 1), shared_mem_bytes: 0, }; unsafe { self.kernel_manager .stream() .launch_builder(&func) .arg(&mut buffers.f_eq.clone()) .arg(&buffers.density) .arg(&buffers.velocity_x) .arg(&buffers.velocity_y) .arg(&(buffers.nx as i32)) .arg(&(buffers.ny as i32)) .launch(config) .map_err(|e| { CfdError::gpu_error(&format!("Equilibrium kernel launch failed: {}", e)) })?; } self.kernel_manager.synchronize()?; Ok(()) } /// GPU-accelerated bounce-back boundary conditions pub fn gpu_apply_bounce_back_boundaries(&self) -> CfdResult<()> { let buffers = self .gpu_buffers .as_ref() .ok_or_else(|| CfdError::gpu_error("GPU buffers not initialized"))?; let module = self .lbm_module .as_ref() .ok_or_else(|| CfdError::gpu_error("LBM module not loaded"))?; let func = module .load_function("d2q9_bounce_back_boundaries") .map_err(|e| CfdError::gpu_error(&format!("Failed to get boundary kernel: {}", e)))?; let grid_dim_x = (buffers.nx as u32 + 15) / 16; let grid_dim_y = (buffers.ny as u32 + 15) / 16; let config = LaunchConfig { grid_dim: (grid_dim_x, grid_dim_y, 1), block_dim: (16, 16, 1), shared_mem_bytes: 0, }; unsafe { self.kernel_manager .stream() .launch_builder(&func) .arg(&mut buffers.f.clone()) .arg(&(buffers.nx as i32)) .arg(&(buffers.ny as i32)) .launch(config) .map_err(|e| { CfdError::gpu_error(&format!("Boundary kernel launch failed: {}", e)) })?; } self.kernel_manager.synchronize()?; Ok(()) } /// Complete GPU LBM time step pub fn gpu_step(&self) -> CfdResult<()> { self.gpu_collision_step()?; self.gpu_streaming_step()?; self.gpu_apply_bounce_back_boundaries()?; self.gpu_compute_macroscopic()?; Ok(()) } /// Initialize flow with uniform velocity pub fn initialize_uniform_flow( &mut self, density: f64, velocity: Vector2, ) -> CfdResult<()> { let buffers = self .gpu_buffers .as_ref() .ok_or_else(|| CfdError::gpu_error("GPU buffers not initialized"))?; let module = self .lbm_module .as_ref() .ok_or_else(|| CfdError::gpu_error("LBM module not loaded"))?; let func = module.load_function("d2q9_init_uniform").map_err(|e| { CfdError::gpu_error(&format!("Failed to get initialization kernel: {}", e)) })?; let grid_dim_x = (buffers.nx as u32 + 15) / 16; let grid_dim_y = (buffers.ny as u32 + 15) / 16; let config = LaunchConfig { grid_dim: (grid_dim_x, grid_dim_y, 1), block_dim: (16, 16, 1), shared_mem_bytes: 0, }; unsafe { self.kernel_manager .stream() .launch_builder(&func) .arg(&mut buffers.f.clone()) .arg(&mut buffers.density.clone()) .arg(&mut buffers.velocity_x.clone()) .arg(&mut buffers.velocity_y.clone()) .arg(&(density as f32)) .arg(&(velocity.x as f32)) .arg(&(velocity.y as f32)) .arg(&(buffers.nx as i32)) .arg(&(buffers.ny as i32)) .launch(config) .map_err(|e| { CfdError::gpu_error(&format!("Initialization kernel launch failed: {}", e)) })?; } self.kernel_manager.synchronize()?; Ok(()) } /// Get macroscopic variables at a specific point (copy from GPU) pub fn get_macroscopic_at(&self, i: usize, j: usize) -> CfdResult<(f64, Vector2)> { let buffers = self .gpu_buffers .as_ref() .ok_or_else(|| CfdError::gpu_error("GPU buffers not initialized"))?; let idx = j * buffers.nx + i; // Copy single values from GPU let mut density_val = vec![0.0f32; 1]; let mut vx_val = vec![0.0f32; 1]; let mut vy_val = vec![0.0f32; 1]; self.kernel_manager .stream() .memcpy_dtoh(&buffers.density.slice(idx..idx + 1), &mut density_val) .map_err(|e| CfdError::gpu_error(&format!("Failed to copy density from GPU: {}", e)))?; self.kernel_manager .stream() .memcpy_dtoh(&buffers.velocity_x.slice(idx..idx + 1), &mut vx_val) .map_err(|e| { CfdError::gpu_error(&format!("Failed to copy velocity_x from GPU: {}", e)) })?; self.kernel_manager .stream() .memcpy_dtoh(&buffers.velocity_y.slice(idx..idx + 1), &mut vy_val) .map_err(|e| { CfdError::gpu_error(&format!("Failed to copy velocity_y from GPU: {}", e)) })?; self.kernel_manager.synchronize()?; Ok(( density_val[0] as f64, Vector2::new(vx_val[0] as f64, vy_val[0] as f64), )) } /// Apply boundary conditions fn gpu_apply_boundaries(&self, _boundary_conditions: &BoundaryConditions) -> CfdResult<()> { // For now, just apply bounce-back self.gpu_apply_bounce_back_boundaries()?; Ok(()) } /// Update flow field from GPU results pub fn update_flow_field(&self, flow_field: &mut FlowField) -> CfdResult<()> { let buffers = self .gpu_buffers .as_ref() .ok_or_else(|| CfdError::gpu_error("GPU buffers not initialized"))?; let (nx, ny, _, _) = flow_field.grid_info(); let n_cells = nx * ny; // Copy results back from GPU let mut density_host = vec![0.0f32; n_cells]; let mut vx_host = vec![0.0f32; n_cells]; let mut vy_host = vec![0.0f32; n_cells]; self.kernel_manager .stream() .memcpy_dtoh(&buffers.density, &mut density_host) .map_err(|e| CfdError::gpu_error(&format!("Failed to copy density from GPU: {}", e)))?; self.kernel_manager .stream() .memcpy_dtoh(&buffers.velocity_x, &mut vx_host) .map_err(|e| { CfdError::gpu_error(&format!("Failed to copy velocity_x from GPU: {}", e)) })?; self.kernel_manager .stream() .memcpy_dtoh(&buffers.velocity_y, &mut vy_host) .map_err(|e| { CfdError::gpu_error(&format!("Failed to copy velocity_y from GPU: {}", e)) })?; self.kernel_manager.synchronize()?; // Update flow field velocities for j in 0..ny { for i in 0..nx { let idx = j * nx + i; // Note: density is not stored in incompressible FlowField // Update velocities using set_velocity method flow_field.set_velocity(i, j, vx_host[idx] as f64, vy_host[idx] as f64)?; } } Ok(()) } }