Preheat your grill or grill pan to medium-high heat.
In a small bowl, whisk together the olive oil, ground turmeric, and half of the sea salt and black pepper.
Brush the turmeric oil mixture evenly over the salmon fillet and toss the asparagus spears in any remaining oil.
Place the salmon on the grill and cook for 4-5 minutes per side, or until the fish flakes easily with a fork.
Add the asparagus to the grill during the last 4 minutes of cooking, turning occasionally until tender and lightly charred.
While the salmon cooks, prepare the sauce by mixing the Greek yogurt, lemon zest, lemon juice, minced garlic, dill, parsley, and the remaining salt and pepper in a small bowl.
Serve the grilled salmon alongside the asparagus and top with a generous dollop of the lemon-herb yogurt sauce.